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Finding the Fourth Proportional to 12,543.14, 17,309.74 and 6,878.43

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Solution

The fourth proportional to 12,543.14, 17,309.74 and 6,878.43 is: 9,492.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,543.14 : 17,309.74 = 6,878.43 : x
  2. Step 2: Convert to fraction form
    12,543.14/17,309.74 = 6,878.43/x
  3. Step 3: Cross multiply
    12,543.14x = 17,309.74 × 6,878.43
  4. Step 4: Simplify right side
    12,543.14x = 119,063,834.91
  5. Step 5: Solve for x
    x = 119,063,834.91/12,543.14
  6. Step 6: Final answer
    x = 9,492.35

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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.