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Finding the Fourth Proportional to 9,177.64, 12,665.91 and 5,641.72

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Solution

The fourth proportional to 9,177.64, 12,665.91 and 5,641.72 is: 7,786.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,177.64 : 12,665.91 = 5,641.72 : x
  2. Step 2: Convert to fraction form
    9,177.64/12,665.91 = 5,641.72/x
  3. Step 3: Cross multiply
    9,177.64x = 12,665.91 × 5,641.72
  4. Step 4: Simplify right side
    9,177.64x = 71,457,517.77
  5. Step 5: Solve for x
    x = 71,457,517.77/9,177.64
  6. Step 6: Final answer
    x = 7,786.04

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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.