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Finding the Fourth Proportional to 6,710.28, 9,262.02 and 4,471.35

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Solution

The fourth proportional to 6,710.28, 9,262.02 and 4,471.35 is: 6,171.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.28 : 9,262.02 = 4,471.35 : x
  2. Step 2: Convert to fraction form
    6,710.28/9,262.02 = 4,471.35/x
  3. Step 3: Cross multiply
    6,710.28x = 9,262.02 × 4,471.35
  4. Step 4: Simplify right side
    6,710.28x = 41,413,733.13
  5. Step 5: Solve for x
    x = 41,413,733.13/6,710.28
  6. Step 6: Final answer
    x = 6,171.68

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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.