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Finding the Fourth Proportional to 9,942.88, 13,718.34 and 6,919.15

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Solution

The fourth proportional to 9,942.88, 13,718.34 and 6,919.15 is: 9,546.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,942.88 : 13,718.34 = 6,919.15 : x
  2. Step 2: Convert to fraction form
    9,942.88/13,718.34 = 6,919.15/x
  3. Step 3: Cross multiply
    9,942.88x = 13,718.34 × 6,919.15
  4. Step 4: Simplify right side
    9,942.88x = 94,919,252.21
  5. Step 5: Solve for x
    x = 94,919,252.21/9,942.88
  6. Step 6: Final answer
    x = 9,546.45

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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.