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Finding the Fourth Proportional to 9,012.70, 12,429.75 and 8,487.82

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Solution

The fourth proportional to 9,012.70, 12,429.75 and 8,487.82 is: 11,705.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,012.70 : 12,429.75 = 8,487.82 : x
  2. Step 2: Convert to fraction form
    9,012.70/12,429.75 = 8,487.82/x
  3. Step 3: Cross multiply
    9,012.70x = 12,429.75 × 8,487.82
  4. Step 4: Simplify right side
    9,012.70x = 105,501,480.65
  5. Step 5: Solve for x
    x = 105,501,480.65/9,012.70
  6. Step 6: Final answer
    x = 11,705.87

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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.