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Finding the Fourth Proportional to 9,750.24, 14,634 and 5,073.57

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Solution

The fourth proportional to 9,750.24, 14,634 and 5,073.57 is: 7,614.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.24 : 14,634 = 5,073.57 : x
  2. Step 2: Convert to fraction form
    9,750.24/14,634 = 5,073.57/x
  3. Step 3: Cross multiply
    9,750.24x = 14,634 × 5,073.57
  4. Step 4: Simplify right side
    9,750.24x = 74,246,623.38
  5. Step 5: Solve for x
    x = 74,246,623.38/9,750.24
  6. Step 6: Final answer
    x = 7,614.85

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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.