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Finding the Fourth Proportional to 6,370.70, 9,556.04 and 4,178.91

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Solution

The fourth proportional to 6,370.70, 9,556.04 and 4,178.91 is: 6,268.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,370.70 : 9,556.04 = 4,178.91 : x
  2. Step 2: Convert to fraction form
    6,370.70/9,556.04 = 4,178.91/x
  3. Step 3: Cross multiply
    6,370.70x = 9,556.04 × 4,178.91
  4. Step 4: Simplify right side
    6,370.70x = 39,933,823.65
  5. Step 5: Solve for x
    x = 39,933,823.65/6,370.70
  6. Step 6: Final answer
    x = 6,268.36

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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.