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Finding the Fourth Proportional to 9,100.39, 12,559.74 and 5,122.28

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Solution

The fourth proportional to 9,100.39, 12,559.74 and 5,122.28 is: 7,069.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100.39 : 12,559.74 = 5,122.28 : x
  2. Step 2: Convert to fraction form
    9,100.39/12,559.74 = 5,122.28/x
  3. Step 3: Cross multiply
    9,100.39x = 12,559.74 × 5,122.28
  4. Step 4: Simplify right side
    9,100.39x = 64,334,416.60
  5. Step 5: Solve for x
    x = 64,334,416.60/9,100.39
  6. Step 6: Final answer
    x = 7,069.42

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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.