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Finding the Fourth Proportional to 9,662.16, 13,233.88 and 9,094.76

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Solution

The fourth proportional to 9,662.16, 13,233.88 and 9,094.76 is: 12,456.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.16 : 13,233.88 = 9,094.76 : x
  2. Step 2: Convert to fraction form
    9,662.16/13,233.88 = 9,094.76/x
  3. Step 3: Cross multiply
    9,662.16x = 13,233.88 × 9,094.76
  4. Step 4: Simplify right side
    9,662.16x = 120,358,957.29
  5. Step 5: Solve for x
    x = 120,358,957.29/9,662.16
  6. Step 6: Final answer
    x = 12,456.73

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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.