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Finding the Fourth Proportional to 9,874.39, 14,811.13 and 2,478.69

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Solution

The fourth proportional to 9,874.39, 14,811.13 and 2,478.69 is: 3,717.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.39 : 14,811.13 = 2,478.69 : x
  2. Step 2: Convert to fraction form
    9,874.39/14,811.13 = 2,478.69/x
  3. Step 3: Cross multiply
    9,874.39x = 14,811.13 × 2,478.69
  4. Step 4: Simplify right side
    9,874.39x = 36,712,199.82
  5. Step 5: Solve for x
    x = 36,712,199.82/9,874.39
  6. Step 6: Final answer
    x = 3,717.92

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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.