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Finding the Fourth Proportional to 9,737.76, 13,435.44 and 5,757.12

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Solution

The fourth proportional to 9,737.76, 13,435.44 and 5,757.12 is: 7,943.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.76 : 13,435.44 = 5,757.12 : x
  2. Step 2: Convert to fraction form
    9,737.76/13,435.44 = 5,757.12/x
  3. Step 3: Cross multiply
    9,737.76x = 13,435.44 × 5,757.12
  4. Step 4: Simplify right side
    9,737.76x = 77,349,440.33
  5. Step 5: Solve for x
    x = 77,349,440.33/9,737.76
  6. Step 6: Final answer
    x = 7,943.25

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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.