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Finding the Fourth Proportional to 9,613.82, 13,266.69 and 5,365.07

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Solution

The fourth proportional to 9,613.82, 13,266.69 and 5,365.07 is: 7,403.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.82 : 13,266.69 = 5,365.07 : x
  2. Step 2: Convert to fraction form
    9,613.82/13,266.69 = 5,365.07/x
  3. Step 3: Cross multiply
    9,613.82x = 13,266.69 × 5,365.07
  4. Step 4: Simplify right side
    9,613.82x = 71,176,683.82
  5. Step 5: Solve for x
    x = 71,176,683.82/9,613.82
  6. Step 6: Final answer
    x = 7,403.58

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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.