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Finding the Fourth Proportional to 9,375.14, 14,020.38 and 7,154.66

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Solution

The fourth proportional to 9,375.14, 14,020.38 and 7,154.66 is: 10,699.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,375.14 : 14,020.38 = 7,154.66 : x
  2. Step 2: Convert to fraction form
    9,375.14/14,020.38 = 7,154.66/x
  3. Step 3: Cross multiply
    9,375.14x = 14,020.38 × 7,154.66
  4. Step 4: Simplify right side
    9,375.14x = 100,311,051.97
  5. Step 5: Solve for x
    x = 100,311,051.97/9,375.14
  6. Step 6: Final answer
    x = 10,699.69

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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.