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Finding the Fourth Proportional to 6,859.26, 9,465.24 and 3,875.42

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Solution

The fourth proportional to 6,859.26, 9,465.24 and 3,875.42 is: 5,347.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.26 : 9,465.24 = 3,875.42 : x
  2. Step 2: Convert to fraction form
    6,859.26/9,465.24 = 3,875.42/x
  3. Step 3: Cross multiply
    6,859.26x = 9,465.24 × 3,875.42
  4. Step 4: Simplify right side
    6,859.26x = 36,681,780.40
  5. Step 5: Solve for x
    x = 36,681,780.40/6,859.26
  6. Step 6: Final answer
    x = 5,347.78

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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.