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Finding the Fourth Proportional to 9,601.29, 13,250.03 and 5,294.52

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Solution

The fourth proportional to 9,601.29, 13,250.03 and 5,294.52 is: 7,306.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.29 : 13,250.03 = 5,294.52 : x
  2. Step 2: Convert to fraction form
    9,601.29/13,250.03 = 5,294.52/x
  3. Step 3: Cross multiply
    9,601.29x = 13,250.03 × 5,294.52
  4. Step 4: Simplify right side
    9,601.29x = 70,152,522.36
  5. Step 5: Solve for x
    x = 70,152,522.36/9,601.29
  6. Step 6: Final answer
    x = 7,306.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.