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Finding the Fourth Proportional to 9,192.56, 12,681.68 and 5,654.48

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Solution

The fourth proportional to 9,192.56, 12,681.68 and 5,654.48 is: 7,800.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.56 : 12,681.68 = 5,654.48 : x
  2. Step 2: Convert to fraction form
    9,192.56/12,681.68 = 5,654.48/x
  3. Step 3: Cross multiply
    9,192.56x = 12,681.68 × 5,654.48
  4. Step 4: Simplify right side
    9,192.56x = 71,708,305.93
  5. Step 5: Solve for x
    x = 71,708,305.93/9,192.56
  6. Step 6: Final answer
    x = 7,800.69

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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.