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Finding the Fourth Proportional to 6,192.83, 9,240.47 and 5,816.14

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Solution

The fourth proportional to 6,192.83, 9,240.47 and 5,816.14 is: 8,678.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192.83 : 9,240.47 = 5,816.14 : x
  2. Step 2: Convert to fraction form
    6,192.83/9,240.47 = 5,816.14/x
  3. Step 3: Cross multiply
    6,192.83x = 9,240.47 × 5,816.14
  4. Step 4: Simplify right side
    6,192.83x = 53,743,867.19
  5. Step 5: Solve for x
    x = 53,743,867.19/6,192.83
  6. Step 6: Final answer
    x = 8,678.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.