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Finding the Fourth Proportional to 8,649.40, 12,970.68 and 3,102.88

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Solution

The fourth proportional to 8,649.40, 12,970.68 and 3,102.88 is: 4,653.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.40 : 12,970.68 = 3,102.88 : x
  2. Step 2: Convert to fraction form
    8,649.40/12,970.68 = 3,102.88/x
  3. Step 3: Cross multiply
    8,649.40x = 12,970.68 × 3,102.88
  4. Step 4: Simplify right side
    8,649.40x = 40,246,463.56
  5. Step 5: Solve for x
    x = 40,246,463.56/8,649.40
  6. Step 6: Final answer
    x = 4,653.09

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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.