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Finding the Fourth Proportional to 9,407.46, 12,981.78 and 5,428.35

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Solution

The fourth proportional to 9,407.46, 12,981.78 and 5,428.35 is: 7,490.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.46 : 12,981.78 = 5,428.35 : x
  2. Step 2: Convert to fraction form
    9,407.46/12,981.78 = 5,428.35/x
  3. Step 3: Cross multiply
    9,407.46x = 12,981.78 × 5,428.35
  4. Step 4: Simplify right side
    9,407.46x = 70,469,645.46
  5. Step 5: Solve for x
    x = 70,469,645.46/9,407.46
  6. Step 6: Final answer
    x = 7,490.83

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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.