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Finding the Fourth Proportional to 9,728.76, 13,425.68 and 5,537

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Solution

The fourth proportional to 9,728.76, 13,425.68 and 5,537 is: 7,641.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.76 : 13,425.68 = 5,537 : x
  2. Step 2: Convert to fraction form
    9,728.76/13,425.68 = 5,537/x
  3. Step 3: Cross multiply
    9,728.76x = 13,425.68 × 5,537
  4. Step 4: Simplify right side
    9,728.76x = 74,337,990.16
  5. Step 5: Solve for x
    x = 74,337,990.16/9,728.76
  6. Step 6: Final answer
    x = 7,641.05

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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.