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Finding the Fourth Proportional to 9,641.19, 13,305.15 and 6,286.17

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Solution

The fourth proportional to 9,641.19, 13,305.15 and 6,286.17 is: 8,675.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.19 : 13,305.15 = 6,286.17 : x
  2. Step 2: Convert to fraction form
    9,641.19/13,305.15 = 6,286.17/x
  3. Step 3: Cross multiply
    9,641.19x = 13,305.15 × 6,286.17
  4. Step 4: Simplify right side
    9,641.19x = 83,638,434.78
  5. Step 5: Solve for x
    x = 83,638,434.78/9,641.19
  6. Step 6: Final answer
    x = 8,675.12

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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.