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Finding the Fourth Proportional to 6,216.15, 9,358.25 and 5,671.83

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Solution

The fourth proportional to 6,216.15, 9,358.25 and 5,671.83 is: 8,538.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,216.15 : 9,358.25 = 5,671.83 : x
  2. Step 2: Convert to fraction form
    6,216.15/9,358.25 = 5,671.83/x
  3. Step 3: Cross multiply
    6,216.15x = 9,358.25 × 5,671.83
  4. Step 4: Simplify right side
    6,216.15x = 53,078,417.28
  5. Step 5: Solve for x
    x = 53,078,417.28/6,216.15
  6. Step 6: Final answer
    x = 8,538.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.