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Finding the Fourth Proportional to 8,639.30, 12,959.16 and 6,461.86

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Solution

The fourth proportional to 8,639.30, 12,959.16 and 6,461.86 is: 9,692.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,639.30 : 12,959.16 = 6,461.86 : x
  2. Step 2: Convert to fraction form
    8,639.30/12,959.16 = 6,461.86/x
  3. Step 3: Cross multiply
    8,639.30x = 12,959.16 × 6,461.86
  4. Step 4: Simplify right side
    8,639.30x = 83,740,277.64
  5. Step 5: Solve for x
    x = 83,740,277.64/8,639.30
  6. Step 6: Final answer
    x = 9,692.95

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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.