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Finding the Fourth Proportional to 6,295.17, 9,431.82 and 4,417.08

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Solution

The fourth proportional to 6,295.17, 9,431.82 and 4,417.08 is: 6,617.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.17 : 9,431.82 = 4,417.08 : x
  2. Step 2: Convert to fraction form
    6,295.17/9,431.82 = 4,417.08/x
  3. Step 3: Cross multiply
    6,295.17x = 9,431.82 × 4,417.08
  4. Step 4: Simplify right side
    6,295.17x = 41,661,108.75
  5. Step 5: Solve for x
    x = 41,661,108.75/6,295.17
  6. Step 6: Final answer
    x = 6,617.95

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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.