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Finding the Fourth Proportional to 10,149.72, 14,009.58 and 6,425.88

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Solution

The fourth proportional to 10,149.72, 14,009.58 and 6,425.88 is: 8,869.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.72 : 14,009.58 = 6,425.88 : x
  2. Step 2: Convert to fraction form
    10,149.72/14,009.58 = 6,425.88/x
  3. Step 3: Cross multiply
    10,149.72x = 14,009.58 × 6,425.88
  4. Step 4: Simplify right side
    10,149.72x = 90,023,879.93
  5. Step 5: Solve for x
    x = 90,023,879.93/10,149.72
  6. Step 6: Final answer
    x = 8,869.59

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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.