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Finding the Fourth Proportional to 6,710.10, 9,257.78 and 3,877.10

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Solution

The fourth proportional to 6,710.10, 9,257.78 and 3,877.10 is: 5,349.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.10 : 9,257.78 = 3,877.10 : x
  2. Step 2: Convert to fraction form
    6,710.10/9,257.78 = 3,877.10/x
  3. Step 3: Cross multiply
    6,710.10x = 9,257.78 × 3,877.10
  4. Step 4: Simplify right side
    6,710.10x = 35,893,338.84
  5. Step 5: Solve for x
    x = 35,893,338.84/6,710.10
  6. Step 6: Final answer
    x = 5,349.15

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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.