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Finding the Fourth Proportional to 9,078.24, 13,643.02 and 5,381.14

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Solution

The fourth proportional to 9,078.24, 13,643.02 and 5,381.14 is: 8,086.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,078.24 : 13,643.02 = 5,381.14 : x
  2. Step 2: Convert to fraction form
    9,078.24/13,643.02 = 5,381.14/x
  3. Step 3: Cross multiply
    9,078.24x = 13,643.02 × 5,381.14
  4. Step 4: Simplify right side
    9,078.24x = 73,415,000.64
  5. Step 5: Solve for x
    x = 73,415,000.64/9,078.24
  6. Step 6: Final answer
    x = 8,086.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.