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Finding the Fourth Proportional to 9,967.40, 13,760.74 and 6,614.76

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Solution

The fourth proportional to 9,967.40, 13,760.74 and 6,614.76 is: 9,132.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.40 : 13,760.74 = 6,614.76 : x
  2. Step 2: Convert to fraction form
    9,967.40/13,760.74 = 6,614.76/x
  3. Step 3: Cross multiply
    9,967.40x = 13,760.74 × 6,614.76
  4. Step 4: Simplify right side
    9,967.40x = 91,023,992.52
  5. Step 5: Solve for x
    x = 91,023,992.52/9,967.40
  6. Step 6: Final answer
    x = 9,132.17

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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.