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Finding the Fourth Proportional to 6,433.24, 9,649.14 and 4,366.52

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Solution

The fourth proportional to 6,433.24, 9,649.14 and 4,366.52 is: 6,549.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.24 : 9,649.14 = 4,366.52 : x
  2. Step 2: Convert to fraction form
    6,433.24/9,649.14 = 4,366.52/x
  3. Step 3: Cross multiply
    6,433.24x = 9,649.14 × 4,366.52
  4. Step 4: Simplify right side
    6,433.24x = 42,133,162.79
  5. Step 5: Solve for x
    x = 42,133,162.79/6,433.24
  6. Step 6: Final answer
    x = 6,549.29

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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.