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Finding the Fourth Proportional to 9,227.07, 12,733.38 and 5,035.32

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Solution

The fourth proportional to 9,227.07, 12,733.38 and 5,035.32 is: 6,948.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.07 : 12,733.38 = 5,035.32 : x
  2. Step 2: Convert to fraction form
    9,227.07/12,733.38 = 5,035.32/x
  3. Step 3: Cross multiply
    9,227.07x = 12,733.38 × 5,035.32
  4. Step 4: Simplify right side
    9,227.07x = 64,116,642.98
  5. Step 5: Solve for x
    x = 64,116,642.98/9,227.07
  6. Step 6: Final answer
    x = 6,948.75

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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.