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Finding the Fourth Proportional to 9,570.24, 13,203.72 and 6,217.20

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Solution

The fourth proportional to 9,570.24, 13,203.72 and 6,217.20 is: 8,577.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.24 : 13,203.72 = 6,217.20 : x
  2. Step 2: Convert to fraction form
    9,570.24/13,203.72 = 6,217.20/x
  3. Step 3: Cross multiply
    9,570.24x = 13,203.72 × 6,217.20
  4. Step 4: Simplify right side
    9,570.24x = 82,090,167.98
  5. Step 5: Solve for x
    x = 82,090,167.98/9,570.24
  6. Step 6: Final answer
    x = 8,577.65

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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.