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Finding the Fourth Proportional to 9,122.33, 12,588.80 and 5,143.42

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Solution

The fourth proportional to 9,122.33, 12,588.80 and 5,143.42 is: 7,097.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.33 : 12,588.80 = 5,143.42 : x
  2. Step 2: Convert to fraction form
    9,122.33/12,588.80 = 5,143.42/x
  3. Step 3: Cross multiply
    9,122.33x = 12,588.80 × 5,143.42
  4. Step 4: Simplify right side
    9,122.33x = 64,749,485.70
  5. Step 5: Solve for x
    x = 64,749,485.70/9,122.33
  6. Step 6: Final answer
    x = 7,097.91

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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.