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Finding the Fourth Proportional to 9,122.96, 12,590.81 and 5,144.00

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Solution

The fourth proportional to 9,122.96, 12,590.81 and 5,144.00 is: 7,099.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.96 : 12,590.81 = 5,144.00 : x
  2. Step 2: Convert to fraction form
    9,122.96/12,590.81 = 5,144.00/x
  3. Step 3: Cross multiply
    9,122.96x = 12,590.81 × 5,144.00
  4. Step 4: Simplify right side
    9,122.96x = 64,767,057.26
  5. Step 5: Solve for x
    x = 64,767,057.26/9,122.96
  6. Step 6: Final answer
    x = 7,099.34

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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.