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Finding the Fourth Proportional to 10,456.92, 14,437.31 and 6,482.25

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Solution

The fourth proportional to 10,456.92, 14,437.31 and 6,482.25 is: 8,949.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,456.92 : 14,437.31 = 6,482.25 : x
  2. Step 2: Convert to fraction form
    10,456.92/14,437.31 = 6,482.25/x
  3. Step 3: Cross multiply
    10,456.92x = 14,437.31 × 6,482.25
  4. Step 4: Simplify right side
    10,456.92x = 93,586,220.34
  5. Step 5: Solve for x
    x = 93,586,220.34/10,456.92
  6. Step 6: Final answer
    x = 8,949.69

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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.