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Finding the Fourth Proportional to 6,129.42, 8,448.30 and 4,693.29

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Solution

The fourth proportional to 6,129.42, 8,448.30 and 4,693.29 is: 6,468.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.42 : 8,448.30 = 4,693.29 : x
  2. Step 2: Convert to fraction form
    6,129.42/8,448.30 = 4,693.29/x
  3. Step 3: Cross multiply
    6,129.42x = 8,448.30 × 4,693.29
  4. Step 4: Simplify right side
    6,129.42x = 39,650,321.91
  5. Step 5: Solve for x
    x = 39,650,321.91/6,129.42
  6. Step 6: Final answer
    x = 6,468.85

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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.