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Finding the Fourth Proportional to 9,570.24, 13,198.08 and 5,980.56

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Solution

The fourth proportional to 9,570.24, 13,198.08 and 5,980.56 is: 8,247.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.24 : 13,198.08 = 5,980.56 : x
  2. Step 2: Convert to fraction form
    9,570.24/13,198.08 = 5,980.56/x
  3. Step 3: Cross multiply
    9,570.24x = 13,198.08 × 5,980.56
  4. Step 4: Simplify right side
    9,570.24x = 78,931,909.32
  5. Step 5: Solve for x
    x = 78,931,909.32/9,570.24
  6. Step 6: Final answer
    x = 8,247.64

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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.