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Finding the Fourth Proportional to 9,156.81, 12,636.65 and 5,617.92

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Solution

The fourth proportional to 9,156.81, 12,636.65 and 5,617.92 is: 7,752.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.81 : 12,636.65 = 5,617.92 : x
  2. Step 2: Convert to fraction form
    9,156.81/12,636.65 = 5,617.92/x
  3. Step 3: Cross multiply
    9,156.81x = 12,636.65 × 5,617.92
  4. Step 4: Simplify right side
    9,156.81x = 70,991,660.68
  5. Step 5: Solve for x
    x = 70,991,660.68/9,156.81
  6. Step 6: Final answer
    x = 7,752.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.