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Finding the Fourth Proportional to 6,257.69, 9,378.73 and 5,475.83

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Solution

The fourth proportional to 6,257.69, 9,378.73 and 5,475.83 is: 8,206.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.69 : 9,378.73 = 5,475.83 : x
  2. Step 2: Convert to fraction form
    6,257.69/9,378.73 = 5,475.83/x
  3. Step 3: Cross multiply
    6,257.69x = 9,378.73 × 5,475.83
  4. Step 4: Simplify right side
    6,257.69x = 51,356,303.72
  5. Step 5: Solve for x
    x = 51,356,303.72/6,257.69
  6. Step 6: Final answer
    x = 8,206.92

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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.