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Finding the Fourth Proportional to 9,728.88, 13,425.92 and 5,537.13

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Solution

The fourth proportional to 9,728.88, 13,425.92 and 5,537.13 is: 7,641.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.88 : 13,425.92 = 5,537.13 : x
  2. Step 2: Convert to fraction form
    9,728.88/13,425.92 = 5,537.13/x
  3. Step 3: Cross multiply
    9,728.88x = 13,425.92 × 5,537.13
  4. Step 4: Simplify right side
    9,728.88x = 74,341,064.41
  5. Step 5: Solve for x
    x = 74,341,064.41/9,728.88
  6. Step 6: Final answer
    x = 7,641.28

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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.