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Finding the Fourth Proportional to 9,166.32, 13,727.78 and 5,822.61

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Solution

The fourth proportional to 9,166.32, 13,727.78 and 5,822.61 is: 8,720.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.32 : 13,727.78 = 5,822.61 : x
  2. Step 2: Convert to fraction form
    9,166.32/13,727.78 = 5,822.61/x
  3. Step 3: Cross multiply
    9,166.32x = 13,727.78 × 5,822.61
  4. Step 4: Simplify right side
    9,166.32x = 79,931,479.99
  5. Step 5: Solve for x
    x = 79,931,479.99/9,166.32
  6. Step 6: Final answer
    x = 8,720.13

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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.