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Finding the Fourth Proportional to 6,858.78, 9,465.29 and 4,169.07

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Solution

The fourth proportional to 6,858.78, 9,465.29 and 4,169.07 is: 5,753.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.78 : 9,465.29 = 4,169.07 : x
  2. Step 2: Convert to fraction form
    6,858.78/9,465.29 = 4,169.07/x
  3. Step 3: Cross multiply
    6,858.78x = 9,465.29 × 4,169.07
  4. Step 4: Simplify right side
    6,858.78x = 39,461,502.50
  5. Step 5: Solve for x
    x = 39,461,502.50/6,858.78
  6. Step 6: Final answer
    x = 5,753.43

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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.