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Finding the Fourth Proportional to 9,981.57, 14,884.31 and 9,491.05

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Solution

The fourth proportional to 9,981.57, 14,884.31 and 9,491.05 is: 14,152.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.57 : 14,884.31 = 9,491.05 : x
  2. Step 2: Convert to fraction form
    9,981.57/14,884.31 = 9,491.05/x
  3. Step 3: Cross multiply
    9,981.57x = 14,884.31 × 9,491.05
  4. Step 4: Simplify right side
    9,981.57x = 141,267,645.76
  5. Step 5: Solve for x
    x = 141,267,645.76/9,981.57
  6. Step 6: Final answer
    x = 14,152.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.