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Finding the Fourth Proportional to 9,754,662.16, 13,461,255.84 and 5,403,734.20

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Solution

The fourth proportional to 9,754,662.16, 13,461,255.84 and 5,403,734.20 is: 7,457,054.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754,662.16 : 13,461,255.84 = 5,403,734.20 : x
  2. Step 2: Convert to fraction form
    9,754,662.16/13,461,255.84 = 5,403,734.20/x
  3. Step 3: Cross multiply
    9,754,662.16x = 13,461,255.84 × 5,403,734.20
  4. Step 4: Simplify right side
    9,754,662.16x = 72,741,048,557,557.73
  5. Step 5: Solve for x
    x = 72,741,048,557,557.73/9,754,662.16
  6. Step 6: Final answer
    x = 7,457,054.62

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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.