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Finding the Fourth Proportional to 9,224.28, 12,707.28 and 7,335.27

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Solution

The fourth proportional to 9,224.28, 12,707.28 and 7,335.27 is: 10,105.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.28 : 12,707.28 = 7,335.27 : x
  2. Step 2: Convert to fraction form
    9,224.28/12,707.28 = 7,335.27/x
  3. Step 3: Cross multiply
    9,224.28x = 12,707.28 × 7,335.27
  4. Step 4: Simplify right side
    9,224.28x = 93,211,329.77
  5. Step 5: Solve for x
    x = 93,211,329.77/9,224.28
  6. Step 6: Final answer
    x = 10,105.00

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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.