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Finding the Fourth Proportional to 9,506.65, 14,259.98 and 2,581.15

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Solution

The fourth proportional to 9,506.65, 14,259.98 and 2,581.15 is: 3,871.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.65 : 14,259.98 = 2,581.15 : x
  2. Step 2: Convert to fraction form
    9,506.65/14,259.98 = 2,581.15/x
  3. Step 3: Cross multiply
    9,506.65x = 14,259.98 × 2,581.15
  4. Step 4: Simplify right side
    9,506.65x = 36,807,147.38
  5. Step 5: Solve for x
    x = 36,807,147.38/9,506.65
  6. Step 6: Final answer
    x = 3,871.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.