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Finding the Fourth Proportional to 9,731.60, 14,586.60 and 5,352.20

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Solution

The fourth proportional to 9,731.60, 14,586.60 and 5,352.20 is: 8,022.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731.60 : 14,586.60 = 5,352.20 : x
  2. Step 2: Convert to fraction form
    9,731.60/14,586.60 = 5,352.20/x
  3. Step 3: Cross multiply
    9,731.60x = 14,586.60 × 5,352.20
  4. Step 4: Simplify right side
    9,731.60x = 78,070,400.52
  5. Step 5: Solve for x
    x = 78,070,400.52/9,731.60
  6. Step 6: Final answer
    x = 8,022.36

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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.