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Finding the Fourth Proportional to 12,574.41, 17,352.80 and 6,909.27

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Solution

The fourth proportional to 12,574.41, 17,352.80 and 6,909.27 is: 9,534.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.41 : 17,352.80 = 6,909.27 : x
  2. Step 2: Convert to fraction form
    12,574.41/17,352.80 = 6,909.27/x
  3. Step 3: Cross multiply
    12,574.41x = 17,352.80 × 6,909.27
  4. Step 4: Simplify right side
    12,574.41x = 119,895,180.46
  5. Step 5: Solve for x
    x = 119,895,180.46/12,574.41
  6. Step 6: Final answer
    x = 9,534.86

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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.