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Finding the Fourth Proportional to 7,169.96, 9,894.49 and 4,145.02

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Solution

The fourth proportional to 7,169.96, 9,894.49 and 4,145.02 is: 5,720.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,169.96 : 9,894.49 = 4,145.02 : x
  2. Step 2: Convert to fraction form
    7,169.96/9,894.49 = 4,145.02/x
  3. Step 3: Cross multiply
    7,169.96x = 9,894.49 × 4,145.02
  4. Step 4: Simplify right side
    7,169.96x = 41,012,809.47
  5. Step 5: Solve for x
    x = 41,012,809.47/7,169.96
  6. Step 6: Final answer
    x = 5,720.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.