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Finding the Fourth Proportional to 9,832.98, 13,570.62 and 6,055.41

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Solution

The fourth proportional to 9,832.98, 13,570.62 and 6,055.41 is: 8,357.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.98 : 13,570.62 = 6,055.41 : x
  2. Step 2: Convert to fraction form
    9,832.98/13,570.62 = 6,055.41/x
  3. Step 3: Cross multiply
    9,832.98x = 13,570.62 × 6,055.41
  4. Step 4: Simplify right side
    9,832.98x = 82,175,668.05
  5. Step 5: Solve for x
    x = 82,175,668.05/9,832.98
  6. Step 6: Final answer
    x = 8,357.15

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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.