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Finding the Fourth Proportional to 6,293.34, 9,441.14 and 2,132.46

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Solution

The fourth proportional to 6,293.34, 9,441.14 and 2,132.46 is: 3,199.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.34 : 9,441.14 = 2,132.46 : x
  2. Step 2: Convert to fraction form
    6,293.34/9,441.14 = 2,132.46/x
  3. Step 3: Cross multiply
    6,293.34x = 9,441.14 × 2,132.46
  4. Step 4: Simplify right side
    6,293.34x = 20,132,842.74
  5. Step 5: Solve for x
    x = 20,132,842.74/6,293.34
  6. Step 6: Final answer
    x = 3,199.07

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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.