Home / 9,542.14-14,314.62-5,102.12

Finding the Fourth Proportional to 9,542.14, 14,314.62 and 5,102.12

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Solution

The fourth proportional to 9,542.14, 14,314.62 and 5,102.12 is: 7,653.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.14 : 14,314.62 = 5,102.12 : x
  2. Step 2: Convert to fraction form
    9,542.14/14,314.62 = 5,102.12/x
  3. Step 3: Cross multiply
    9,542.14x = 14,314.62 × 5,102.12
  4. Step 4: Simplify right side
    9,542.14x = 73,034,963.91
  5. Step 5: Solve for x
    x = 73,034,963.91/9,542.14
  6. Step 6: Final answer
    x = 7,653.94

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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.