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Finding the Fourth Proportional to 9,613.78, 13,268.32 and 5,636.48

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Solution

The fourth proportional to 9,613.78, 13,268.32 and 5,636.48 is: 7,779.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.78 : 13,268.32 = 5,636.48 : x
  2. Step 2: Convert to fraction form
    9,613.78/13,268.32 = 5,636.48/x
  3. Step 3: Cross multiply
    9,613.78x = 13,268.32 × 5,636.48
  4. Step 4: Simplify right side
    9,613.78x = 74,786,620.31
  5. Step 5: Solve for x
    x = 74,786,620.31/9,613.78
  6. Step 6: Final answer
    x = 7,779.11

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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.