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Finding the Fourth Proportional to 6,129.04, 8,448.24 and 4,138.96

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Solution

The fourth proportional to 6,129.04, 8,448.24 and 4,138.96 is: 5,705.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.04 : 8,448.24 = 4,138.96 : x
  2. Step 2: Convert to fraction form
    6,129.04/8,448.24 = 4,138.96/x
  3. Step 3: Cross multiply
    6,129.04x = 8,448.24 × 4,138.96
  4. Step 4: Simplify right side
    6,129.04x = 34,966,927.43
  5. Step 5: Solve for x
    x = 34,966,927.43/6,129.04
  6. Step 6: Final answer
    x = 5,705.12

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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.