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Finding the Fourth Proportional to 9,099.37, 12,557.01 and 5,120.56

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Solution

The fourth proportional to 9,099.37, 12,557.01 and 5,120.56 is: 7,066.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099.37 : 12,557.01 = 5,120.56 : x
  2. Step 2: Convert to fraction form
    9,099.37/12,557.01 = 5,120.56/x
  3. Step 3: Cross multiply
    9,099.37x = 12,557.01 × 5,120.56
  4. Step 4: Simplify right side
    9,099.37x = 64,298,923.13
  5. Step 5: Solve for x
    x = 64,298,923.13/9,099.37
  6. Step 6: Final answer
    x = 7,066.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.