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Finding the Fourth Proportional to 10,469.30, 14,444.06 and 6,488.96

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Solution

The fourth proportional to 10,469.30, 14,444.06 and 6,488.96 is: 8,952.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.30 : 14,444.06 = 6,488.96 : x
  2. Step 2: Convert to fraction form
    10,469.30/14,444.06 = 6,488.96/x
  3. Step 3: Cross multiply
    10,469.30x = 14,444.06 × 6,488.96
  4. Step 4: Simplify right side
    10,469.30x = 93,726,822.91
  5. Step 5: Solve for x
    x = 93,726,822.91/10,469.30
  6. Step 6: Final answer
    x = 8,952.54

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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.