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Finding the Fourth Proportional to 12,574.26, 17,352.70 and 6,909.26

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Solution

The fourth proportional to 12,574.26, 17,352.70 and 6,909.26 is: 9,534.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.26 : 17,352.70 = 6,909.26 : x
  2. Step 2: Convert to fraction form
    12,574.26/17,352.70 = 6,909.26/x
  3. Step 3: Cross multiply
    12,574.26x = 17,352.70 × 6,909.26
  4. Step 4: Simplify right side
    12,574.26x = 119,894,211.97
  5. Step 5: Solve for x
    x = 119,894,211.97/12,574.26
  6. Step 6: Final answer
    x = 9,534.89

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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.