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Finding the Fourth Proportional to 6,899.20, 9,515.28 and 4,102

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Solution

The fourth proportional to 6,899.20, 9,515.28 and 4,102 is: 5,657.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899.20 : 9,515.28 = 4,102 : x
  2. Step 2: Convert to fraction form
    6,899.20/9,515.28 = 4,102/x
  3. Step 3: Cross multiply
    6,899.20x = 9,515.28 × 4,102
  4. Step 4: Simplify right side
    6,899.20x = 39,031,678.56
  5. Step 5: Solve for x
    x = 39,031,678.56/6,899.20
  6. Step 6: Final answer
    x = 5,657.42

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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.