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Finding the Fourth Proportional to 8,601.44, 12,901.84 and 4,646.60

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Solution

The fourth proportional to 8,601.44, 12,901.84 and 4,646.60 is: 6,969.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,601.44 : 12,901.84 = 4,646.60 : x
  2. Step 2: Convert to fraction form
    8,601.44/12,901.84 = 4,646.60/x
  3. Step 3: Cross multiply
    8,601.44x = 12,901.84 × 4,646.60
  4. Step 4: Simplify right side
    8,601.44x = 59,949,689.74
  5. Step 5: Solve for x
    x = 59,949,689.74/8,601.44
  6. Step 6: Final answer
    x = 6,969.73

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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.