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Finding the Fourth Proportional to 9,687.99, 14,534.82 and 5,010.65

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Solution

The fourth proportional to 9,687.99, 14,534.82 and 5,010.65 is: 7,517.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.99 : 14,534.82 = 5,010.65 : x
  2. Step 2: Convert to fraction form
    9,687.99/14,534.82 = 5,010.65/x
  3. Step 3: Cross multiply
    9,687.99x = 14,534.82 × 5,010.65
  4. Step 4: Simplify right side
    9,687.99x = 72,828,823.16
  5. Step 5: Solve for x
    x = 72,828,823.16/9,687.99
  6. Step 6: Final answer
    x = 7,517.43

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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.