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Finding the Fourth Proportional to 9,124.73, 13,652.91 and 6,498.30

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Solution

The fourth proportional to 9,124.73, 13,652.91 and 6,498.30 is: 9,723.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.73 : 13,652.91 = 6,498.30 : x
  2. Step 2: Convert to fraction form
    9,124.73/13,652.91 = 6,498.30/x
  3. Step 3: Cross multiply
    9,124.73x = 13,652.91 × 6,498.30
  4. Step 4: Simplify right side
    9,124.73x = 88,720,705.05
  5. Step 5: Solve for x
    x = 88,720,705.05/9,124.73
  6. Step 6: Final answer
    x = 9,723.10

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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.