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Finding the Fourth Proportional to 9,542.14, 14,317.14 and 5,154.42

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Solution

The fourth proportional to 9,542.14, 14,317.14 and 5,154.42 is: 7,733.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.14 : 14,317.14 = 5,154.42 : x
  2. Step 2: Convert to fraction form
    9,542.14/14,317.14 = 5,154.42/x
  3. Step 3: Cross multiply
    9,542.14x = 14,317.14 × 5,154.42
  4. Step 4: Simplify right side
    9,542.14x = 73,796,552.76
  5. Step 5: Solve for x
    x = 73,796,552.76/9,542.14
  6. Step 6: Final answer
    x = 7,733.75

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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.