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Finding the Fourth Proportional to 9,570.19, 13,198.10 and 6,338.67

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Solution

The fourth proportional to 9,570.19, 13,198.10 and 6,338.67 is: 8,741.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.19 : 13,198.10 = 6,338.67 : x
  2. Step 2: Convert to fraction form
    9,570.19/13,198.10 = 6,338.67/x
  3. Step 3: Cross multiply
    9,570.19x = 13,198.10 × 6,338.67
  4. Step 4: Simplify right side
    9,570.19x = 83,658,400.53
  5. Step 5: Solve for x
    x = 83,658,400.53/9,570.19
  6. Step 6: Final answer
    x = 8,741.56

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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.