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Finding the Fourth Proportional to 6,400.32, 9,604.13 and 6,350.91

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Solution

The fourth proportional to 6,400.32, 9,604.13 and 6,350.91 is: 9,529.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.32 : 9,604.13 = 6,350.91 : x
  2. Step 2: Convert to fraction form
    6,400.32/9,604.13 = 6,350.91/x
  3. Step 3: Cross multiply
    6,400.32x = 9,604.13 × 6,350.91
  4. Step 4: Simplify right side
    6,400.32x = 60,994,933.50
  5. Step 5: Solve for x
    x = 60,994,933.50/6,400.32
  6. Step 6: Final answer
    x = 9,529.98

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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.