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Finding the Fourth Proportional to 6,763.89, 9,332.46 and 4,111.14

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Solution

The fourth proportional to 6,763.89, 9,332.46 and 4,111.14 is: 5,672.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763.89 : 9,332.46 = 4,111.14 : x
  2. Step 2: Convert to fraction form
    6,763.89/9,332.46 = 4,111.14/x
  3. Step 3: Cross multiply
    6,763.89x = 9,332.46 × 4,111.14
  4. Step 4: Simplify right side
    6,763.89x = 38,367,049.60
  5. Step 5: Solve for x
    x = 38,367,049.60/6,763.89
  6. Step 6: Final answer
    x = 5,672.33

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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.