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Finding the Fourth Proportional to 7,098.05, 9,797.61 and 4,578.22

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Solution

The fourth proportional to 7,098.05, 9,797.61 and 4,578.22 is: 6,319.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.05 : 9,797.61 = 4,578.22 : x
  2. Step 2: Convert to fraction form
    7,098.05/9,797.61 = 4,578.22/x
  3. Step 3: Cross multiply
    7,098.05x = 9,797.61 × 4,578.22
  4. Step 4: Simplify right side
    7,098.05x = 44,855,613.08
  5. Step 5: Solve for x
    x = 44,855,613.08/7,098.05
  6. Step 6: Final answer
    x = 6,319.42

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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.