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Finding the Fourth Proportional to 6,859.18, 9,465.63 and 3,874.87

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Solution

The fourth proportional to 6,859.18, 9,465.63 and 3,874.87 is: 5,347.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.18 : 9,465.63 = 3,874.87 : x
  2. Step 2: Convert to fraction form
    6,859.18/9,465.63 = 3,874.87/x
  3. Step 3: Cross multiply
    6,859.18x = 9,465.63 × 3,874.87
  4. Step 4: Simplify right side
    6,859.18x = 36,678,085.72
  5. Step 5: Solve for x
    x = 36,678,085.72/6,859.18
  6. Step 6: Final answer
    x = 5,347.30

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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.