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Finding the Fourth Proportional to 9,660.74, 14,481.30 and 5,492.13

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Solution

The fourth proportional to 9,660.74, 14,481.30 and 5,492.13 is: 8,232.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660.74 : 14,481.30 = 5,492.13 : x
  2. Step 2: Convert to fraction form
    9,660.74/14,481.30 = 5,492.13/x
  3. Step 3: Cross multiply
    9,660.74x = 14,481.30 × 5,492.13
  4. Step 4: Simplify right side
    9,660.74x = 79,533,182.17
  5. Step 5: Solve for x
    x = 79,533,182.17/9,660.74
  6. Step 6: Final answer
    x = 8,232.62

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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.