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Finding the Fourth Proportional to 6,145.69, 9,218.59 and 3,812.49

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Solution

The fourth proportional to 6,145.69, 9,218.59 and 3,812.49 is: 5,718.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.69 : 9,218.59 = 3,812.49 : x
  2. Step 2: Convert to fraction form
    6,145.69/9,218.59 = 3,812.49/x
  3. Step 3: Cross multiply
    6,145.69x = 9,218.59 × 3,812.49
  4. Step 4: Simplify right side
    6,145.69x = 35,145,782.19
  5. Step 5: Solve for x
    x = 35,145,782.19/6,145.69
  6. Step 6: Final answer
    x = 5,718.77

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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.