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Finding the Fourth Proportional to 6,275.76, 9,422.85 and 3,507.84

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Solution

The fourth proportional to 6,275.76, 9,422.85 and 3,507.84 is: 5,266.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.76 : 9,422.85 = 3,507.84 : x
  2. Step 2: Convert to fraction form
    6,275.76/9,422.85 = 3,507.84/x
  3. Step 3: Cross multiply
    6,275.76x = 9,422.85 × 3,507.84
  4. Step 4: Simplify right side
    6,275.76x = 33,053,850.14
  5. Step 5: Solve for x
    x = 33,053,850.14/6,275.76
  6. Step 6: Final answer
    x = 5,266.91

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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.