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Finding the Fourth Proportional to 9,572.55, 13,216.56 and 8,561.12

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Solution

The fourth proportional to 9,572.55, 13,216.56 and 8,561.12 is: 11,820.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.55 : 13,216.56 = 8,561.12 : x
  2. Step 2: Convert to fraction form
    9,572.55/13,216.56 = 8,561.12/x
  3. Step 3: Cross multiply
    9,572.55x = 13,216.56 × 8,561.12
  4. Step 4: Simplify right side
    9,572.55x = 113,148,490.06
  5. Step 5: Solve for x
    x = 113,148,490.06/9,572.55
  6. Step 6: Final answer
    x = 11,820.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.