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Finding the Fourth Proportional to 6,447.38, 9,597.77 and 6,145.46

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Solution

The fourth proportional to 6,447.38, 9,597.77 and 6,145.46 is: 9,148.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.38 : 9,597.77 = 6,145.46 : x
  2. Step 2: Convert to fraction form
    6,447.38/9,597.77 = 6,145.46/x
  3. Step 3: Cross multiply
    6,447.38x = 9,597.77 × 6,145.46
  4. Step 4: Simplify right side
    6,447.38x = 58,982,632.91
  5. Step 5: Solve for x
    x = 58,982,632.91/6,447.38
  6. Step 6: Final answer
    x = 9,148.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.