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Finding the Fourth Proportional to 6,447.72, 8,897.40 and 3,614.88

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Solution

The fourth proportional to 6,447.72, 8,897.40 and 3,614.88 is: 4,988.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.72 : 8,897.40 = 3,614.88 : x
  2. Step 2: Convert to fraction form
    6,447.72/8,897.40 = 3,614.88/x
  3. Step 3: Cross multiply
    6,447.72x = 8,897.40 × 3,614.88
  4. Step 4: Simplify right side
    6,447.72x = 32,163,033.31
  5. Step 5: Solve for x
    x = 32,163,033.31/6,447.72
  6. Step 6: Final answer
    x = 4,988.28

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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.