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Finding the Fourth Proportional to 9,808, 13,535.34 and 5,558.96

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Solution

The fourth proportional to 9,808, 13,535.34 and 5,558.96 is: 7,671.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808 : 13,535.34 = 5,558.96 : x
  2. Step 2: Convert to fraction form
    9,808/13,535.34 = 5,558.96/x
  3. Step 3: Cross multiply
    9,808x = 13,535.34 × 5,558.96
  4. Step 4: Simplify right side
    9,808x = 75,242,413.65
  5. Step 5: Solve for x
    x = 75,242,413.65/9,808
  6. Step 6: Final answer
    x = 7,671.53

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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.