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Finding the Fourth Proportional to 9,489.26, 14,242.53 and 5,050.65

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Solution

The fourth proportional to 9,489.26, 14,242.53 and 5,050.65 is: 7,580.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.26 : 14,242.53 = 5,050.65 : x
  2. Step 2: Convert to fraction form
    9,489.26/14,242.53 = 5,050.65/x
  3. Step 3: Cross multiply
    9,489.26x = 14,242.53 × 5,050.65
  4. Step 4: Simplify right side
    9,489.26x = 71,934,115.11
  5. Step 5: Solve for x
    x = 71,934,115.11/9,489.26
  6. Step 6: Final answer
    x = 7,580.58

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