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Finding the Fourth Proportional to 9,798,471.84, 13,522,184.16 and 5,387,968.40

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Solution

The fourth proportional to 9,798,471.84, 13,522,184.16 and 5,387,968.40 is: 7,435,557.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798,471.84 : 13,522,184.16 = 5,387,968.40 : x
  2. Step 2: Convert to fraction form
    9,798,471.84/13,522,184.16 = 5,387,968.40/x
  3. Step 3: Cross multiply
    9,798,471.84x = 13,522,184.16 × 5,387,968.40
  4. Step 4: Simplify right side
    9,798,471.84x = 72,857,100,953,060.55
  5. Step 5: Solve for x
    x = 72,857,100,953,060.55/9,798,471.84
  6. Step 6: Final answer
    x = 7,435,557.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.