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Finding the Fourth Proportional to 9,600.24, 14,391.06 and 4,922.46

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Solution

The fourth proportional to 9,600.24, 14,391.06 and 4,922.46 is: 7,378.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.24 : 14,391.06 = 4,922.46 : x
  2. Step 2: Convert to fraction form
    9,600.24/14,391.06 = 4,922.46/x
  3. Step 3: Cross multiply
    9,600.24x = 14,391.06 × 4,922.46
  4. Step 4: Simplify right side
    9,600.24x = 70,839,417.21
  5. Step 5: Solve for x
    x = 70,839,417.21/9,600.24
  6. Step 6: Final answer
    x = 7,378.92

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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.