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Finding the Fourth Proportional to 6,097.74, 9,153.90 and 3,633.72

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Solution

The fourth proportional to 6,097.74, 9,153.90 and 3,633.72 is: 5,454.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.74 : 9,153.90 = 3,633.72 : x
  2. Step 2: Convert to fraction form
    6,097.74/9,153.90 = 3,633.72/x
  3. Step 3: Cross multiply
    6,097.74x = 9,153.90 × 3,633.72
  4. Step 4: Simplify right side
    6,097.74x = 33,262,691.34
  5. Step 5: Solve for x
    x = 33,262,691.34/6,097.74
  6. Step 6: Final answer
    x = 5,454.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.