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Finding the Fourth Proportional to 9,613.71, 13,266.32 and 5,365.40

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Solution

The fourth proportional to 9,613.71, 13,266.32 and 5,365.40 is: 7,403.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.71 : 13,266.32 = 5,365.40 : x
  2. Step 2: Convert to fraction form
    9,613.71/13,266.32 = 5,365.40/x
  3. Step 3: Cross multiply
    9,613.71x = 13,266.32 × 5,365.40
  4. Step 4: Simplify right side
    9,613.71x = 71,179,020.17
  5. Step 5: Solve for x
    x = 71,179,020.17/9,613.71
  6. Step 6: Final answer
    x = 7,403.91

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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.