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Finding the Fourth Proportional to 8,364.14, 12,546.20 and 6,257.95

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Solution

The fourth proportional to 8,364.14, 12,546.20 and 6,257.95 is: 9,386.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.14 : 12,546.20 = 6,257.95 : x
  2. Step 2: Convert to fraction form
    8,364.14/12,546.20 = 6,257.95/x
  3. Step 3: Cross multiply
    8,364.14x = 12,546.20 × 6,257.95
  4. Step 4: Simplify right side
    8,364.14x = 78,513,547.12
  5. Step 5: Solve for x
    x = 78,513,547.12/8,364.14
  6. Step 6: Final answer
    x = 9,386.93

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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.