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Finding the Fourth Proportional to 8,547.14, 12,814.34 and 5,766.02

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Solution

The fourth proportional to 8,547.14, 12,814.34 and 5,766.02 is: 8,644.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.14 : 12,814.34 = 5,766.02 : x
  2. Step 2: Convert to fraction form
    8,547.14/12,814.34 = 5,766.02/x
  3. Step 3: Cross multiply
    8,547.14x = 12,814.34 × 5,766.02
  4. Step 4: Simplify right side
    8,547.14x = 73,887,740.73
  5. Step 5: Solve for x
    x = 73,887,740.73/8,547.14
  6. Step 6: Final answer
    x = 8,644.73

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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.