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Finding the Fourth Proportional to 6,462.85, 8,922.12 and 4,349.49

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Solution

The fourth proportional to 6,462.85, 8,922.12 and 4,349.49 is: 6,004.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.85 : 8,922.12 = 4,349.49 : x
  2. Step 2: Convert to fraction form
    6,462.85/8,922.12 = 4,349.49/x
  3. Step 3: Cross multiply
    6,462.85x = 8,922.12 × 4,349.49
  4. Step 4: Simplify right side
    6,462.85x = 38,806,671.72
  5. Step 5: Solve for x
    x = 38,806,671.72/6,462.85
  6. Step 6: Final answer
    x = 6,004.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.