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Finding the Fourth Proportional to 7,176.02, 9,901.99 and 4,189.69

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Solution

The fourth proportional to 7,176.02, 9,901.99 and 4,189.69 is: 5,781.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176.02 : 9,901.99 = 4,189.69 : x
  2. Step 2: Convert to fraction form
    7,176.02/9,901.99 = 4,189.69/x
  3. Step 3: Cross multiply
    7,176.02x = 9,901.99 × 4,189.69
  4. Step 4: Simplify right side
    7,176.02x = 41,486,268.48
  5. Step 5: Solve for x
    x = 41,486,268.48/7,176.02
  6. Step 6: Final answer
    x = 5,781.24

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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.