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Finding the Fourth Proportional to 6,900.40, 9,521.88 and 3,874.83

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Solution

The fourth proportional to 6,900.40, 9,521.88 and 3,874.83 is: 5,346.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900.40 : 9,521.88 = 3,874.83 : x
  2. Step 2: Convert to fraction form
    6,900.40/9,521.88 = 3,874.83/x
  3. Step 3: Cross multiply
    6,900.40x = 9,521.88 × 3,874.83
  4. Step 4: Simplify right side
    6,900.40x = 36,895,666.28
  5. Step 5: Solve for x
    x = 36,895,666.28/6,900.40
  6. Step 6: Final answer
    x = 5,346.89

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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.