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Finding the Fourth Proportional to 9,504.70, 14,266.28 and 6,889.03

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Solution

The fourth proportional to 9,504.70, 14,266.28 and 6,889.03 is: 10,340.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,504.70 : 14,266.28 = 6,889.03 : x
  2. Step 2: Convert to fraction form
    9,504.70/14,266.28 = 6,889.03/x
  3. Step 3: Cross multiply
    9,504.70x = 14,266.28 × 6,889.03
  4. Step 4: Simplify right side
    9,504.70x = 98,280,725.13
  5. Step 5: Solve for x
    x = 98,280,725.13/9,504.70
  6. Step 6: Final answer
    x = 10,340.23

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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.