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Finding the Fourth Proportional to 6,476.52, 9,710.16 and 3,188.82

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Solution

The fourth proportional to 6,476.52, 9,710.16 and 3,188.82 is: 4,780.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.52 : 9,710.16 = 3,188.82 : x
  2. Step 2: Convert to fraction form
    6,476.52/9,710.16 = 3,188.82/x
  3. Step 3: Cross multiply
    6,476.52x = 9,710.16 × 3,188.82
  4. Step 4: Simplify right side
    6,476.52x = 30,963,952.41
  5. Step 5: Solve for x
    x = 30,963,952.41/6,476.52
  6. Step 6: Final answer
    x = 4,780.96

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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.