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Finding the Fourth Proportional to 9,834.92, 13,565.99 and 5,853.06

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Solution

The fourth proportional to 9,834.92, 13,565.99 and 5,853.06 is: 8,073.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.92 : 13,565.99 = 5,853.06 : x
  2. Step 2: Convert to fraction form
    9,834.92/13,565.99 = 5,853.06/x
  3. Step 3: Cross multiply
    9,834.92x = 13,565.99 × 5,853.06
  4. Step 4: Simplify right side
    9,834.92x = 79,402,553.43
  5. Step 5: Solve for x
    x = 79,402,553.43/9,834.92
  6. Step 6: Final answer
    x = 8,073.53

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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.