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Finding the Fourth Proportional to 9,353.32, 14,032.14 and 3,512.68

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Solution

The fourth proportional to 9,353.32, 14,032.14 and 3,512.68 is: 5,269.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,353.32 : 14,032.14 = 3,512.68 : x
  2. Step 2: Convert to fraction form
    9,353.32/14,032.14 = 3,512.68/x
  3. Step 3: Cross multiply
    9,353.32x = 14,032.14 × 3,512.68
  4. Step 4: Simplify right side
    9,353.32x = 49,290,417.54
  5. Step 5: Solve for x
    x = 49,290,417.54/9,353.32
  6. Step 6: Final answer
    x = 5,269.83

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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.