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Finding the Fourth Proportional to 9,877.52, 13,635.06 and 7,355.18

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Solution

The fourth proportional to 9,877.52, 13,635.06 and 7,355.18 is: 10,153.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.52 : 13,635.06 = 7,355.18 : x
  2. Step 2: Convert to fraction form
    9,877.52/13,635.06 = 7,355.18/x
  3. Step 3: Cross multiply
    9,877.52x = 13,635.06 × 7,355.18
  4. Step 4: Simplify right side
    9,877.52x = 100,288,320.61
  5. Step 5: Solve for x
    x = 100,288,320.61/9,877.52
  6. Step 6: Final answer
    x = 10,153.19

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