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Finding the Fourth Proportional to 10,439.67, 14,320.95 and 9,874.74

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Solution

The fourth proportional to 10,439.67, 14,320.95 and 9,874.74 is: 13,545.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,439.67 : 14,320.95 = 9,874.74 : x
  2. Step 2: Convert to fraction form
    10,439.67/14,320.95 = 9,874.74/x
  3. Step 3: Cross multiply
    10,439.67x = 14,320.95 × 9,874.74
  4. Step 4: Simplify right side
    10,439.67x = 141,415,657.80
  5. Step 5: Solve for x
    x = 141,415,657.80/10,439.67
  6. Step 6: Final answer
    x = 13,545.99

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.