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Finding the Fourth Proportional to 9,387.48, 14,085 and 3,545.76

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Solution

The fourth proportional to 9,387.48, 14,085 and 3,545.76 is: 5,320.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,387.48 : 14,085 = 3,545.76 : x
  2. Step 2: Convert to fraction form
    9,387.48/14,085 = 3,545.76/x
  3. Step 3: Cross multiply
    9,387.48x = 14,085 × 3,545.76
  4. Step 4: Simplify right side
    9,387.48x = 49,942,029.60
  5. Step 5: Solve for x
    x = 49,942,029.60/9,387.48
  6. Step 6: Final answer
    x = 5,320.07

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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.