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Finding the Fourth Proportional to 9,808.80, 13,535.31 and 5,830.86

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Solution

The fourth proportional to 9,808.80, 13,535.31 and 5,830.86 is: 8,046.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.80 : 13,535.31 = 5,830.86 : x
  2. Step 2: Convert to fraction form
    9,808.80/13,535.31 = 5,830.86/x
  3. Step 3: Cross multiply
    9,808.80x = 13,535.31 × 5,830.86
  4. Step 4: Simplify right side
    9,808.80x = 78,922,497.67
  5. Step 5: Solve for x
    x = 78,922,497.67/9,808.80
  6. Step 6: Final answer
    x = 8,046.09

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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.