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Finding the Fourth Proportional to 11,467.97, 15,805.69 and 9,870.65

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Solution

The fourth proportional to 11,467.97, 15,805.69 and 9,870.65 is: 13,604.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,467.97 : 15,805.69 = 9,870.65 : x
  2. Step 2: Convert to fraction form
    11,467.97/15,805.69 = 9,870.65/x
  3. Step 3: Cross multiply
    11,467.97x = 15,805.69 × 9,870.65
  4. Step 4: Simplify right side
    11,467.97x = 156,012,434.00
  5. Step 5: Solve for x
    x = 156,012,434.00/11,467.97
  6. Step 6: Final answer
    x = 13,604.19

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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.