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Finding the Fourth Proportional to 7,019.28, 9,686.25 and 3,874.86

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Solution

The fourth proportional to 7,019.28, 9,686.25 and 3,874.86 is: 5,347.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,019.28 : 9,686.25 = 3,874.86 : x
  2. Step 2: Convert to fraction form
    7,019.28/9,686.25 = 3,874.86/x
  3. Step 3: Cross multiply
    7,019.28x = 9,686.25 × 3,874.86
  4. Step 4: Simplify right side
    7,019.28x = 37,532,862.68
  5. Step 5: Solve for x
    x = 37,532,862.68/7,019.28
  6. Step 6: Final answer
    x = 5,347.11

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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.