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Finding the Fourth Proportional to 9,222.50, 12,727.32 and 5,031.02

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Solution

The fourth proportional to 9,222.50, 12,727.32 and 5,031.02 is: 6,942.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.50 : 12,727.32 = 5,031.02 : x
  2. Step 2: Convert to fraction form
    9,222.50/12,727.32 = 5,031.02/x
  3. Step 3: Cross multiply
    9,222.50x = 12,727.32 × 5,031.02
  4. Step 4: Simplify right side
    9,222.50x = 64,031,401.47
  5. Step 5: Solve for x
    x = 64,031,401.47/9,222.50
  6. Step 6: Final answer
    x = 6,942.95

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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.