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Finding the Fourth Proportional to 6,142.65, 9,214.80 and 2,445.27

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Solution

The fourth proportional to 6,142.65, 9,214.80 and 2,445.27 is: 3,668.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.65 : 9,214.80 = 2,445.27 : x
  2. Step 2: Convert to fraction form
    6,142.65/9,214.80 = 2,445.27/x
  3. Step 3: Cross multiply
    6,142.65x = 9,214.80 × 2,445.27
  4. Step 4: Simplify right side
    6,142.65x = 22,532,674.00
  5. Step 5: Solve for x
    x = 22,532,674.00/6,142.65
  6. Step 6: Final answer
    x = 3,668.23

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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.