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Finding the Fourth Proportional to 9,502.38, 14,253.15 and 2,928.27

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Solution

The fourth proportional to 9,502.38, 14,253.15 and 2,928.27 is: 4,392.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.38 : 14,253.15 = 2,928.27 : x
  2. Step 2: Convert to fraction form
    9,502.38/14,253.15 = 2,928.27/x
  3. Step 3: Cross multiply
    9,502.38x = 14,253.15 × 2,928.27
  4. Step 4: Simplify right side
    9,502.38x = 41,737,071.55
  5. Step 5: Solve for x
    x = 41,737,071.55/9,502.38
  6. Step 6: Final answer
    x = 4,392.28

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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.