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Finding the Fourth Proportional to 6,267.60, 8,649.28 and 3,614.96

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Solution

The fourth proportional to 6,267.60, 8,649.28 and 3,614.96 is: 4,988.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.60 : 8,649.28 = 3,614.96 : x
  2. Step 2: Convert to fraction form
    6,267.60/8,649.28 = 3,614.96/x
  3. Step 3: Cross multiply
    6,267.60x = 8,649.28 × 3,614.96
  4. Step 4: Simplify right side
    6,267.60x = 31,266,801.23
  5. Step 5: Solve for x
    x = 31,266,801.23/6,267.60
  6. Step 6: Final answer
    x = 4,988.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.