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Finding the Fourth Proportional to 6,129.14, 9,177.30 and 5,345.46

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Solution

The fourth proportional to 6,129.14, 9,177.30 and 5,345.46 is: 8,003.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.14 : 9,177.30 = 5,345.46 : x
  2. Step 2: Convert to fraction form
    6,129.14/9,177.30 = 5,345.46/x
  3. Step 3: Cross multiply
    6,129.14x = 9,177.30 × 5,345.46
  4. Step 4: Simplify right side
    6,129.14x = 49,056,890.06
  5. Step 5: Solve for x
    x = 49,056,890.06/6,129.14
  6. Step 6: Final answer
    x = 8,003.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.