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Finding the Fourth Proportional to 6,342.06, 9,513.09 and 3,438.75

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Solution

The fourth proportional to 6,342.06, 9,513.09 and 3,438.75 is: 5,158.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.06 : 9,513.09 = 3,438.75 : x
  2. Step 2: Convert to fraction form
    6,342.06/9,513.09 = 3,438.75/x
  3. Step 3: Cross multiply
    6,342.06x = 9,513.09 × 3,438.75
  4. Step 4: Simplify right side
    6,342.06x = 32,713,138.24
  5. Step 5: Solve for x
    x = 32,713,138.24/6,342.06
  6. Step 6: Final answer
    x = 5,158.13

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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.