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Finding the Fourth Proportional to 9,300.58, 12,839.80 and 7,171.43

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Solution

The fourth proportional to 9,300.58, 12,839.80 and 7,171.43 is: 9,900.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,300.58 : 12,839.80 = 7,171.43 : x
  2. Step 2: Convert to fraction form
    9,300.58/12,839.80 = 7,171.43/x
  3. Step 3: Cross multiply
    9,300.58x = 12,839.80 × 7,171.43
  4. Step 4: Simplify right side
    9,300.58x = 92,079,726.91
  5. Step 5: Solve for x
    x = 92,079,726.91/9,300.58
  6. Step 6: Final answer
    x = 9,900.43

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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.