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Finding the Fourth Proportional to 9,506.70, 14,269.28 and 6,891.03

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Solution

The fourth proportional to 9,506.70, 14,269.28 and 6,891.03 is: 10,343.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.70 : 14,269.28 = 6,891.03 : x
  2. Step 2: Convert to fraction form
    9,506.70/14,269.28 = 6,891.03/x
  3. Step 3: Cross multiply
    9,506.70x = 14,269.28 × 6,891.03
  4. Step 4: Simplify right side
    9,506.70x = 98,330,036.56
  5. Step 5: Solve for x
    x = 98,330,036.56/9,506.70
  6. Step 6: Final answer
    x = 10,343.24

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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.