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Finding the Fourth Proportional to 9,685.48, 13,370.04 and 6,545.92

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Solution

The fourth proportional to 9,685.48, 13,370.04 and 6,545.92 is: 9,036.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.48 : 13,370.04 = 6,545.92 : x
  2. Step 2: Convert to fraction form
    9,685.48/13,370.04 = 6,545.92/x
  3. Step 3: Cross multiply
    9,685.48x = 13,370.04 × 6,545.92
  4. Step 4: Simplify right side
    9,685.48x = 87,519,212.24
  5. Step 5: Solve for x
    x = 87,519,212.24/9,685.48
  6. Step 6: Final answer
    x = 9,036.13

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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.