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Finding the Fourth Proportional to 9,884.28, 14,828.85 and 6,968.28

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Solution

The fourth proportional to 9,884.28, 14,828.85 and 6,968.28 is: 10,454.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.28 : 14,828.85 = 6,968.28 : x
  2. Step 2: Convert to fraction form
    9,884.28/14,828.85 = 6,968.28/x
  3. Step 3: Cross multiply
    9,884.28x = 14,828.85 × 6,968.28
  4. Step 4: Simplify right side
    9,884.28x = 103,331,578.88
  5. Step 5: Solve for x
    x = 103,331,578.88/9,884.28
  6. Step 6: Final answer
    x = 10,454.13

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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.