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Finding the Fourth Proportional to 9,425.28, 13,006.86 and 5,233.50

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Solution

The fourth proportional to 9,425.28, 13,006.86 and 5,233.50 is: 7,222.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,425.28 : 13,006.86 = 5,233.50 : x
  2. Step 2: Convert to fraction form
    9,425.28/13,006.86 = 5,233.50/x
  3. Step 3: Cross multiply
    9,425.28x = 13,006.86 × 5,233.50
  4. Step 4: Simplify right side
    9,425.28x = 68,071,401.81
  5. Step 5: Solve for x
    x = 68,071,401.81/9,425.28
  6. Step 6: Final answer
    x = 7,222.22

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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.