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Finding the Fourth Proportional to 9,804.38, 13,530.04 and 5,613.44

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Solution

The fourth proportional to 9,804.38, 13,530.04 and 5,613.44 is: 7,746.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.38 : 13,530.04 = 5,613.44 : x
  2. Step 2: Convert to fraction form
    9,804.38/13,530.04 = 5,613.44/x
  3. Step 3: Cross multiply
    9,804.38x = 13,530.04 × 5,613.44
  4. Step 4: Simplify right side
    9,804.38x = 75,949,986.05
  5. Step 5: Solve for x
    x = 75,949,986.05/9,804.38
  6. Step 6: Final answer
    x = 7,746.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.