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Finding the Fourth Proportional to 6,434.82, 9,655.47 and 2,974.50

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Solution

The fourth proportional to 6,434.82, 9,655.47 and 2,974.50 is: 4,463.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.82 : 9,655.47 = 2,974.50 : x
  2. Step 2: Convert to fraction form
    6,434.82/9,655.47 = 2,974.50/x
  3. Step 3: Cross multiply
    6,434.82x = 9,655.47 × 2,974.50
  4. Step 4: Simplify right side
    6,434.82x = 28,720,195.52
  5. Step 5: Solve for x
    x = 28,720,195.52/6,434.82
  6. Step 6: Final answer
    x = 4,463.25

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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.