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Finding the Fourth Proportional to 9,491.40, 14,248.80 and 5,981.40

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Solution

The fourth proportional to 9,491.40, 14,248.80 and 5,981.40 is: 8,979.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.40 : 14,248.80 = 5,981.40 : x
  2. Step 2: Convert to fraction form
    9,491.40/14,248.80 = 5,981.40/x
  3. Step 3: Cross multiply
    9,491.40x = 14,248.80 × 5,981.40
  4. Step 4: Simplify right side
    9,491.40x = 85,227,772.32
  5. Step 5: Solve for x
    x = 85,227,772.32/9,491.40
  6. Step 6: Final answer
    x = 8,979.47

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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.