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Finding the Fourth Proportional to 6,635.52, 9,154.26 and 4,116.78

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Solution

The fourth proportional to 6,635.52, 9,154.26 and 4,116.78 is: 5,679.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,635.52 : 9,154.26 = 4,116.78 : x
  2. Step 2: Convert to fraction form
    6,635.52/9,154.26 = 4,116.78/x
  3. Step 3: Cross multiply
    6,635.52x = 9,154.26 × 4,116.78
  4. Step 4: Simplify right side
    6,635.52x = 37,686,074.48
  5. Step 5: Solve for x
    x = 37,686,074.48/6,635.52
  6. Step 6: Final answer
    x = 5,679.45

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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.