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Finding the Fourth Proportional to 9,665.16, 14,491.92 and 5,276.52

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Solution

The fourth proportional to 9,665.16, 14,491.92 and 5,276.52 is: 7,911.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.16 : 14,491.92 = 5,276.52 : x
  2. Step 2: Convert to fraction form
    9,665.16/14,491.92 = 5,276.52/x
  3. Step 3: Cross multiply
    9,665.16x = 14,491.92 × 5,276.52
  4. Step 4: Simplify right side
    9,665.16x = 76,466,905.72
  5. Step 5: Solve for x
    x = 76,466,905.72/9,665.16
  6. Step 6: Final answer
    x = 7,911.60

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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.