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Finding the Fourth Proportional to 6,123.28, 9,182.07 and 4,950.40

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Solution

The fourth proportional to 6,123.28, 9,182.07 and 4,950.40 is: 7,423.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.28 : 9,182.07 = 4,950.40 : x
  2. Step 2: Convert to fraction form
    6,123.28/9,182.07 = 4,950.40/x
  3. Step 3: Cross multiply
    6,123.28x = 9,182.07 × 4,950.40
  4. Step 4: Simplify right side
    6,123.28x = 45,454,919.33
  5. Step 5: Solve for x
    x = 45,454,919.33/6,123.28
  6. Step 6: Final answer
    x = 7,423.30

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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.