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Finding the Fourth Proportional to 6,965.06, 9,612.32 and 3,981.02

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Solution

The fourth proportional to 6,965.06, 9,612.32 and 3,981.02 is: 5,494.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.06 : 9,612.32 = 3,981.02 : x
  2. Step 2: Convert to fraction form
    6,965.06/9,612.32 = 3,981.02/x
  3. Step 3: Cross multiply
    6,965.06x = 9,612.32 × 3,981.02
  4. Step 4: Simplify right side
    6,965.06x = 38,266,842.29
  5. Step 5: Solve for x
    x = 38,266,842.29/6,965.06
  6. Step 6: Final answer
    x = 5,494.11

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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.