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Finding the Fourth Proportional to 9,517.95, 13,122.54 and 6,154.83

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Solution

The fourth proportional to 9,517.95, 13,122.54 and 6,154.83 is: 8,485.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517.95 : 13,122.54 = 6,154.83 : x
  2. Step 2: Convert to fraction form
    9,517.95/13,122.54 = 6,154.83/x
  3. Step 3: Cross multiply
    9,517.95x = 13,122.54 × 6,154.83
  4. Step 4: Simplify right side
    9,517.95x = 80,767,002.87
  5. Step 5: Solve for x
    x = 80,767,002.87/9,517.95
  6. Step 6: Final answer
    x = 8,485.76

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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.