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Finding the Fourth Proportional to 6,348.93, 9,518.94 and 3,429.15

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Solution

The fourth proportional to 6,348.93, 9,518.94 and 3,429.15 is: 5,141.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.93 : 9,518.94 = 3,429.15 : x
  2. Step 2: Convert to fraction form
    6,348.93/9,518.94 = 3,429.15/x
  3. Step 3: Cross multiply
    6,348.93x = 9,518.94 × 3,429.15
  4. Step 4: Simplify right side
    6,348.93x = 32,641,873.10
  5. Step 5: Solve for x
    x = 32,641,873.10/6,348.93
  6. Step 6: Final answer
    x = 5,141.32

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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.