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Finding the Fourth Proportional to 9,665.28, 14,462.64 and 8,260.74

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Solution

The fourth proportional to 9,665.28, 14,462.64 and 8,260.74 is: 12,360.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.28 : 14,462.64 = 8,260.74 : x
  2. Step 2: Convert to fraction form
    9,665.28/14,462.64 = 8,260.74/x
  3. Step 3: Cross multiply
    9,665.28x = 14,462.64 × 8,260.74
  4. Step 4: Simplify right side
    9,665.28x = 119,472,108.75
  5. Step 5: Solve for x
    x = 119,472,108.75/9,665.28
  6. Step 6: Final answer
    x = 12,360.96

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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.