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Finding the Fourth Proportional to 9,397.24, 14,098 and 2,823.54

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Solution

The fourth proportional to 9,397.24, 14,098 and 2,823.54 is: 4,235.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,397.24 : 14,098 = 2,823.54 : x
  2. Step 2: Convert to fraction form
    9,397.24/14,098 = 2,823.54/x
  3. Step 3: Cross multiply
    9,397.24x = 14,098 × 2,823.54
  4. Step 4: Simplify right side
    9,397.24x = 39,806,266.92
  5. Step 5: Solve for x
    x = 39,806,266.92/9,397.24
  6. Step 6: Final answer
    x = 4,235.95

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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.