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Finding the Fourth Proportional to 9,864.82, 13,613.43 and 5,673.07

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Solution

The fourth proportional to 9,864.82, 13,613.43 and 5,673.07 is: 7,828.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864.82 : 13,613.43 = 5,673.07 : x
  2. Step 2: Convert to fraction form
    9,864.82/13,613.43 = 5,673.07/x
  3. Step 3: Cross multiply
    9,864.82x = 13,613.43 × 5,673.07
  4. Step 4: Simplify right side
    9,864.82x = 77,229,941.33
  5. Step 5: Solve for x
    x = 77,229,941.33/9,864.82
  6. Step 6: Final answer
    x = 7,828.82

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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.