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Finding the Fourth Proportional to 9,864.75, 13,613.37 and 5,673

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Solution

The fourth proportional to 9,864.75, 13,613.37 and 5,673 is: 7,828.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864.75 : 13,613.37 = 5,673 : x
  2. Step 2: Convert to fraction form
    9,864.75/13,613.37 = 5,673/x
  3. Step 3: Cross multiply
    9,864.75x = 13,613.37 × 5,673
  4. Step 4: Simplify right side
    9,864.75x = 77,228,648.01
  5. Step 5: Solve for x
    x = 77,228,648.01/9,864.75
  6. Step 6: Final answer
    x = 7,828.75

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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.