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Finding the Fourth Proportional to 9,141.71, 12,606.61 and 5,557.16

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Solution

The fourth proportional to 9,141.71, 12,606.61 and 5,557.16 is: 7,663.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.71 : 12,606.61 = 5,557.16 : x
  2. Step 2: Convert to fraction form
    9,141.71/12,606.61 = 5,557.16/x
  3. Step 3: Cross multiply
    9,141.71x = 12,606.61 × 5,557.16
  4. Step 4: Simplify right side
    9,141.71x = 70,056,921.59
  5. Step 5: Solve for x
    x = 70,056,921.59/9,141.71
  6. Step 6: Final answer
    x = 7,663.44

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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.