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Finding the Fourth Proportional to 7,026.32, 9,696.29 and 3,882.53

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Solution

The fourth proportional to 7,026.32, 9,696.29 and 3,882.53 is: 5,357.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026.32 : 9,696.29 = 3,882.53 : x
  2. Step 2: Convert to fraction form
    7,026.32/9,696.29 = 3,882.53/x
  3. Step 3: Cross multiply
    7,026.32x = 9,696.29 × 3,882.53
  4. Step 4: Simplify right side
    7,026.32x = 37,646,068.92
  5. Step 5: Solve for x
    x = 37,646,068.92/7,026.32
  6. Step 6: Final answer
    x = 5,357.87

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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.