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Finding the Fourth Proportional to 6,123.22, 8,454.81 and 4,704.65

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Solution

The fourth proportional to 6,123.22, 8,454.81 and 4,704.65 is: 6,496.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.22 : 8,454.81 = 4,704.65 : x
  2. Step 2: Convert to fraction form
    6,123.22/8,454.81 = 4,704.65/x
  3. Step 3: Cross multiply
    6,123.22x = 8,454.81 × 4,704.65
  4. Step 4: Simplify right side
    6,123.22x = 39,776,950.04
  5. Step 5: Solve for x
    x = 39,776,950.04/6,123.22
  6. Step 6: Final answer
    x = 6,496.09

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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.