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Finding the Fourth Proportional to 6,295.65, 9,444.35 and 2,785.38

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Solution

The fourth proportional to 6,295.65, 9,444.35 and 2,785.38 is: 4,178.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.65 : 9,444.35 = 2,785.38 : x
  2. Step 2: Convert to fraction form
    6,295.65/9,444.35 = 2,785.38/x
  3. Step 3: Cross multiply
    6,295.65x = 9,444.35 × 2,785.38
  4. Step 4: Simplify right side
    6,295.65x = 26,306,103.60
  5. Step 5: Solve for x
    x = 26,306,103.60/6,295.65
  6. Step 6: Final answer
    x = 4,178.46

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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.