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Finding the Fourth Proportional to 9,809.20, 13,535.36 and 5,828.86

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Solution

The fourth proportional to 9,809.20, 13,535.36 and 5,828.86 is: 8,043.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.20 : 13,535.36 = 5,828.86 : x
  2. Step 2: Convert to fraction form
    9,809.20/13,535.36 = 5,828.86/x
  3. Step 3: Cross multiply
    9,809.20x = 13,535.36 × 5,828.86
  4. Step 4: Simplify right side
    9,809.20x = 78,895,718.49
  5. Step 5: Solve for x
    x = 78,895,718.49/9,809.20
  6. Step 6: Final answer
    x = 8,043.03

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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.