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Finding the Fourth Proportional to 9,407.46, 12,981.79 and 5,428.34

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Solution

The fourth proportional to 9,407.46, 12,981.79 and 5,428.34 is: 7,490.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.46 : 12,981.79 = 5,428.34 : x
  2. Step 2: Convert to fraction form
    9,407.46/12,981.79 = 5,428.34/x
  3. Step 3: Cross multiply
    9,407.46x = 12,981.79 × 5,428.34
  4. Step 4: Simplify right side
    9,407.46x = 70,469,569.93
  5. Step 5: Solve for x
    x = 70,469,569.93/9,407.46
  6. Step 6: Final answer
    x = 7,490.82

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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.