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Finding the Fourth Proportional to 6,677.63, 9,215.29 and 3,693.52

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Solution

The fourth proportional to 6,677.63, 9,215.29 and 3,693.52 is: 5,097.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,677.63 : 9,215.29 = 3,693.52 : x
  2. Step 2: Convert to fraction form
    6,677.63/9,215.29 = 3,693.52/x
  3. Step 3: Cross multiply
    6,677.63x = 9,215.29 × 3,693.52
  4. Step 4: Simplify right side
    6,677.63x = 34,036,874.06
  5. Step 5: Solve for x
    x = 34,036,874.06/6,677.63
  6. Step 6: Final answer
    x = 5,097.15

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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.