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Finding the Fourth Proportional to 9,282.86, 13,929.08 and 6,165.02

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Solution

The fourth proportional to 9,282.86, 13,929.08 and 6,165.02 is: 9,250.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.86 : 13,929.08 = 6,165.02 : x
  2. Step 2: Convert to fraction form
    9,282.86/13,929.08 = 6,165.02/x
  3. Step 3: Cross multiply
    9,282.86x = 13,929.08 × 6,165.02
  4. Step 4: Simplify right side
    9,282.86x = 85,873,056.78
  5. Step 5: Solve for x
    x = 85,873,056.78/9,282.86
  6. Step 6: Final answer
    x = 9,250.71

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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.