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Finding the Fourth Proportional to 8,569.40, 12,839.70 and 5,646.20

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Solution

The fourth proportional to 8,569.40, 12,839.70 and 5,646.20 is: 8,459.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.40 : 12,839.70 = 5,646.20 : x
  2. Step 2: Convert to fraction form
    8,569.40/12,839.70 = 5,646.20/x
  3. Step 3: Cross multiply
    8,569.40x = 12,839.70 × 5,646.20
  4. Step 4: Simplify right side
    8,569.40x = 72,495,514.14
  5. Step 5: Solve for x
    x = 72,495,514.14/8,569.40
  6. Step 6: Final answer
    x = 8,459.81

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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.