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Finding the Fourth Proportional to 9,474.86, 13,075.17 and 5,496.65

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Solution

The fourth proportional to 9,474.86, 13,075.17 and 5,496.65 is: 7,585.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.86 : 13,075.17 = 5,496.65 : x
  2. Step 2: Convert to fraction form
    9,474.86/13,075.17 = 5,496.65/x
  3. Step 3: Cross multiply
    9,474.86x = 13,075.17 × 5,496.65
  4. Step 4: Simplify right side
    9,474.86x = 71,869,567.80
  5. Step 5: Solve for x
    x = 71,869,567.80/9,474.86
  6. Step 6: Final answer
    x = 7,585.29

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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.