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Finding the Fourth Proportional to 9,445.84, 13,035.27 and 5,254

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Solution

The fourth proportional to 9,445.84, 13,035.27 and 5,254 is: 7,250.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,445.84 : 13,035.27 = 5,254 : x
  2. Step 2: Convert to fraction form
    9,445.84/13,035.27 = 5,254/x
  3. Step 3: Cross multiply
    9,445.84x = 13,035.27 × 5,254
  4. Step 4: Simplify right side
    9,445.84x = 68,487,308.58
  5. Step 5: Solve for x
    x = 68,487,308.58/9,445.84
  6. Step 6: Final answer
    x = 7,250.53

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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.