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Finding the Fourth Proportional to 6,561.20, 9,838.16 and 4,713.19

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Solution

The fourth proportional to 6,561.20, 9,838.16 and 4,713.19 is: 7,067.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.20 : 9,838.16 = 4,713.19 : x
  2. Step 2: Convert to fraction form
    6,561.20/9,838.16 = 4,713.19/x
  3. Step 3: Cross multiply
    6,561.20x = 9,838.16 × 4,713.19
  4. Step 4: Simplify right side
    6,561.20x = 46,369,086.84
  5. Step 5: Solve for x
    x = 46,369,086.84/6,561.20
  6. Step 6: Final answer
    x = 7,067.16

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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.