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Finding the Fourth Proportional to 6,460.46, 9,673.77 and 4,232.29

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Solution

The fourth proportional to 6,460.46, 9,673.77 and 4,232.29 is: 6,337.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.46 : 9,673.77 = 4,232.29 : x
  2. Step 2: Convert to fraction form
    6,460.46/9,673.77 = 4,232.29/x
  3. Step 3: Cross multiply
    6,460.46x = 9,673.77 × 4,232.29
  4. Step 4: Simplify right side
    6,460.46x = 40,942,151.66
  5. Step 5: Solve for x
    x = 40,942,151.66/6,460.46
  6. Step 6: Final answer
    x = 6,337.34

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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.