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Finding the Fourth Proportional to 6,417.71, 8,856.59 and 3,767.03

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Solution

The fourth proportional to 6,417.71, 8,856.59 and 3,767.03 is: 5,198.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.71 : 8,856.59 = 3,767.03 : x
  2. Step 2: Convert to fraction form
    6,417.71/8,856.59 = 3,767.03/x
  3. Step 3: Cross multiply
    6,417.71x = 8,856.59 × 3,767.03
  4. Step 4: Simplify right side
    6,417.71x = 33,363,040.23
  5. Step 5: Solve for x
    x = 33,363,040.23/6,417.71
  6. Step 6: Final answer
    x = 5,198.59

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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.