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Finding the Fourth Proportional to 6,447.14, 8,897.07 and 3,652.64

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Solution

The fourth proportional to 6,447.14, 8,897.07 and 3,652.64 is: 5,040.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.14 : 8,897.07 = 3,652.64 : x
  2. Step 2: Convert to fraction form
    6,447.14/8,897.07 = 3,652.64/x
  3. Step 3: Cross multiply
    6,447.14x = 8,897.07 × 3,652.64
  4. Step 4: Simplify right side
    6,447.14x = 32,497,793.76
  5. Step 5: Solve for x
    x = 32,497,793.76/6,447.14
  6. Step 6: Final answer
    x = 5,040.65

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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.