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Finding the Fourth Proportional to 10,307.97, 14,234.49 and 9,755.55

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Solution

The fourth proportional to 10,307.97, 14,234.49 and 9,755.55 is: 13,471.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,307.97 : 14,234.49 = 9,755.55 : x
  2. Step 2: Convert to fraction form
    10,307.97/14,234.49 = 9,755.55/x
  3. Step 3: Cross multiply
    10,307.97x = 14,234.49 × 9,755.55
  4. Step 4: Simplify right side
    10,307.97x = 138,865,278.92
  5. Step 5: Solve for x
    x = 138,865,278.92/10,307.97
  6. Step 6: Final answer
    x = 13,471.64

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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.