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Finding the Fourth Proportional to 9,146.08, 12,614.64 and 6,456.16

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Solution

The fourth proportional to 9,146.08, 12,614.64 and 6,456.16 is: 8,904.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.08 : 12,614.64 = 6,456.16 : x
  2. Step 2: Convert to fraction form
    9,146.08/12,614.64 = 6,456.16/x
  3. Step 3: Cross multiply
    9,146.08x = 12,614.64 × 6,456.16
  4. Step 4: Simplify right side
    9,146.08x = 81,442,134.18
  5. Step 5: Solve for x
    x = 81,442,134.18/9,146.08
  6. Step 6: Final answer
    x = 8,904.59

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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.