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Finding the Fourth Proportional to 8,646.46, 12,972.41 and 3,096.02

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Solution

The fourth proportional to 8,646.46, 12,972.41 and 3,096.02 is: 4,645.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.46 : 12,972.41 = 3,096.02 : x
  2. Step 2: Convert to fraction form
    8,646.46/12,972.41 = 3,096.02/x
  3. Step 3: Cross multiply
    8,646.46x = 12,972.41 × 3,096.02
  4. Step 4: Simplify right side
    8,646.46x = 40,162,840.81
  5. Step 5: Solve for x
    x = 40,162,840.81/8,646.46
  6. Step 6: Final answer
    x = 4,645.00

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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.