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Finding the Fourth Proportional to 9,017.54, 12,438.69 and 5,825.66

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Solution

The fourth proportional to 9,017.54, 12,438.69 and 5,825.66 is: 8,035.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,017.54 : 12,438.69 = 5,825.66 : x
  2. Step 2: Convert to fraction form
    9,017.54/12,438.69 = 5,825.66/x
  3. Step 3: Cross multiply
    9,017.54x = 12,438.69 × 5,825.66
  4. Step 4: Simplify right side
    9,017.54x = 72,463,616.08
  5. Step 5: Solve for x
    x = 72,463,616.08/9,017.54
  6. Step 6: Final answer
    x = 8,035.85

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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.