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Finding the Fourth Proportional to 9,100.86, 12,559.64 and 5,122.41

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Solution

The fourth proportional to 9,100.86, 12,559.64 and 5,122.41 is: 7,069.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100.86 : 12,559.64 = 5,122.41 : x
  2. Step 2: Convert to fraction form
    9,100.86/12,559.64 = 5,122.41/x
  3. Step 3: Cross multiply
    9,100.86x = 12,559.64 × 5,122.41
  4. Step 4: Simplify right side
    9,100.86x = 64,335,599.92
  5. Step 5: Solve for x
    x = 64,335,599.92/9,100.86
  6. Step 6: Final answer
    x = 7,069.18

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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.