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Finding the Fourth Proportional to 9,132.75, 13,699.80 and 2,558.69

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Solution

The fourth proportional to 9,132.75, 13,699.80 and 2,558.69 is: 3,838.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132.75 : 13,699.80 = 2,558.69 : x
  2. Step 2: Convert to fraction form
    9,132.75/13,699.80 = 2,558.69/x
  3. Step 3: Cross multiply
    9,132.75x = 13,699.80 × 2,558.69
  4. Step 4: Simplify right side
    9,132.75x = 35,053,524.14
  5. Step 5: Solve for x
    x = 35,053,524.14/9,132.75
  6. Step 6: Final answer
    x = 3,838.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.