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Finding the Fourth Proportional to 9,641.77, 13,304.32 and 5,392.61

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Solution

The fourth proportional to 9,641.77, 13,304.32 and 5,392.61 is: 7,441.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.77 : 13,304.32 = 5,392.61 : x
  2. Step 2: Convert to fraction form
    9,641.77/13,304.32 = 5,392.61/x
  3. Step 3: Cross multiply
    9,641.77x = 13,304.32 × 5,392.61
  4. Step 4: Simplify right side
    9,641.77x = 71,745,053.80
  5. Step 5: Solve for x
    x = 71,745,053.80/9,641.77
  6. Step 6: Final answer
    x = 7,441.06

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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.