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Finding the Fourth Proportional to 6,141.12, 9,219.38 and 4,923.69

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Solution

The fourth proportional to 6,141.12, 9,219.38 and 4,923.69 is: 7,391.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.12 : 9,219.38 = 4,923.69 : x
  2. Step 2: Convert to fraction form
    6,141.12/9,219.38 = 4,923.69/x
  3. Step 3: Cross multiply
    6,141.12x = 9,219.38 × 4,923.69
  4. Step 4: Simplify right side
    6,141.12x = 45,393,344.49
  5. Step 5: Solve for x
    x = 45,393,344.49/6,141.12
  6. Step 6: Final answer
    x = 7,391.70

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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.