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Finding the Fourth Proportional to 9,100.85, 12,558.93 and 5,122.81

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Solution

The fourth proportional to 9,100.85, 12,558.93 and 5,122.81 is: 7,069.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100.85 : 12,558.93 = 5,122.81 : x
  2. Step 2: Convert to fraction form
    9,100.85/12,558.93 = 5,122.81/x
  3. Step 3: Cross multiply
    9,100.85x = 12,558.93 × 5,122.81
  4. Step 4: Simplify right side
    9,100.85x = 64,336,949.40
  5. Step 5: Solve for x
    x = 64,336,949.40/9,100.85
  6. Step 6: Final answer
    x = 7,069.33

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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.