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Finding the Fourth Proportional to 9,597.20, 13,148.22 and 9,237.66

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Solution

The fourth proportional to 9,597.20, 13,148.22 and 9,237.66 is: 12,655.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.20 : 13,148.22 = 9,237.66 : x
  2. Step 2: Convert to fraction form
    9,597.20/13,148.22 = 9,237.66/x
  3. Step 3: Cross multiply
    9,597.20x = 13,148.22 × 9,237.66
  4. Step 4: Simplify right side
    9,597.20x = 121,458,785.97
  5. Step 5: Solve for x
    x = 121,458,785.97/9,597.20
  6. Step 6: Final answer
    x = 12,655.65

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.