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Finding the Fourth Proportional to 6,434.88, 9,645.12 and 4,245.12

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Solution

The fourth proportional to 6,434.88, 9,645.12 and 4,245.12 is: 6,362.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.88 : 9,645.12 = 4,245.12 : x
  2. Step 2: Convert to fraction form
    6,434.88/9,645.12 = 4,245.12/x
  3. Step 3: Cross multiply
    6,434.88x = 9,645.12 × 4,245.12
  4. Step 4: Simplify right side
    6,434.88x = 40,944,691.81
  5. Step 5: Solve for x
    x = 40,944,691.81/6,434.88
  6. Step 6: Final answer
    x = 6,362.93

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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.