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Finding the Fourth Proportional to 9,225.29, 12,731.06 and 5,246.43

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Solution

The fourth proportional to 9,225.29, 12,731.06 and 5,246.43 is: 7,240.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.29 : 12,731.06 = 5,246.43 : x
  2. Step 2: Convert to fraction form
    9,225.29/12,731.06 = 5,246.43/x
  3. Step 3: Cross multiply
    9,225.29x = 12,731.06 × 5,246.43
  4. Step 4: Simplify right side
    9,225.29x = 66,792,588.88
  5. Step 5: Solve for x
    x = 66,792,588.88/9,225.29
  6. Step 6: Final answer
    x = 7,240.17

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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.