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Finding the Fourth Proportional to 6,472.77, 9,710.87 and 2,030.43

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Solution

The fourth proportional to 6,472.77, 9,710.87 and 2,030.43 is: 3,046.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.77 : 9,710.87 = 2,030.43 : x
  2. Step 2: Convert to fraction form
    6,472.77/9,710.87 = 2,030.43/x
  3. Step 3: Cross multiply
    6,472.77x = 9,710.87 × 2,030.43
  4. Step 4: Simplify right side
    6,472.77x = 19,717,241.77
  5. Step 5: Solve for x
    x = 19,717,241.77/6,472.77
  6. Step 6: Final answer
    x = 3,046.18

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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.