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Finding the Fourth Proportional to 9,878.01, 14,815.38 and 4,613.57

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Solution

The fourth proportional to 9,878.01, 14,815.38 and 4,613.57 is: 6,919.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.01 : 14,815.38 = 4,613.57 : x
  2. Step 2: Convert to fraction form
    9,878.01/14,815.38 = 4,613.57/x
  3. Step 3: Cross multiply
    9,878.01x = 14,815.38 × 4,613.57
  4. Step 4: Simplify right side
    9,878.01x = 68,351,791.49
  5. Step 5: Solve for x
    x = 68,351,791.49/9,878.01
  6. Step 6: Final answer
    x = 6,919.59

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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.