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Finding the Fourth Proportional to 9,532.46, 14,295.96 and 3,290.86

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Solution

The fourth proportional to 9,532.46, 14,295.96 and 3,290.86 is: 4,935.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.46 : 14,295.96 = 3,290.86 : x
  2. Step 2: Convert to fraction form
    9,532.46/14,295.96 = 3,290.86/x
  3. Step 3: Cross multiply
    9,532.46x = 14,295.96 × 3,290.86
  4. Step 4: Simplify right side
    9,532.46x = 47,046,002.93
  5. Step 5: Solve for x
    x = 47,046,002.93/9,532.46
  6. Step 6: Final answer
    x = 4,935.35

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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.