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Finding the Fourth Proportional to 6,370.71, 9,556.06 and 4,178.93

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Solution

The fourth proportional to 6,370.71, 9,556.06 and 4,178.93 is: 6,268.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,370.71 : 9,556.06 = 4,178.93 : x
  2. Step 2: Convert to fraction form
    6,370.71/9,556.06 = 4,178.93/x
  3. Step 3: Cross multiply
    6,370.71x = 9,556.06 × 4,178.93
  4. Step 4: Simplify right side
    6,370.71x = 39,934,105.82
  5. Step 5: Solve for x
    x = 39,934,105.82/6,370.71
  6. Step 6: Final answer
    x = 6,268.39

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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.