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Finding the Fourth Proportional to 6,981.90, 9,635.04 and 3,795.18

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Solution

The fourth proportional to 6,981.90, 9,635.04 and 3,795.18 is: 5,237.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.90 : 9,635.04 = 3,795.18 : x
  2. Step 2: Convert to fraction form
    6,981.90/9,635.04 = 3,795.18/x
  3. Step 3: Cross multiply
    6,981.90x = 9,635.04 × 3,795.18
  4. Step 4: Simplify right side
    6,981.90x = 36,566,711.11
  5. Step 5: Solve for x
    x = 36,566,711.11/6,981.90
  6. Step 6: Final answer
    x = 5,237.36

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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.