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Finding the Fourth Proportional to 6,190.93, 9,275.59 and 5,157.57

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Solution

The fourth proportional to 6,190.93, 9,275.59 and 5,157.57 is: 7,727.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,190.93 : 9,275.59 = 5,157.57 : x
  2. Step 2: Convert to fraction form
    6,190.93/9,275.59 = 5,157.57/x
  3. Step 3: Cross multiply
    6,190.93x = 9,275.59 × 5,157.57
  4. Step 4: Simplify right side
    6,190.93x = 47,839,504.72
  5. Step 5: Solve for x
    x = 47,839,504.72/6,190.93
  6. Step 6: Final answer
    x = 7,727.35

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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.