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Finding the Fourth Proportional to 9,432.80, 14,116.80 and 6,516.80

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Solution

The fourth proportional to 9,432.80, 14,116.80 and 6,516.80 is: 9,752.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432.80 : 14,116.80 = 6,516.80 : x
  2. Step 2: Convert to fraction form
    9,432.80/14,116.80 = 6,516.80/x
  3. Step 3: Cross multiply
    9,432.80x = 14,116.80 × 6,516.80
  4. Step 4: Simplify right side
    9,432.80x = 91,996,362.24
  5. Step 5: Solve for x
    x = 91,996,362.24/9,432.80
  6. Step 6: Final answer
    x = 9,752.82

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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.