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Finding the Fourth Proportional to 9,227.84, 12,733.47 and 5,247.50

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Solution

The fourth proportional to 9,227.84, 12,733.47 and 5,247.50 is: 7,241.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.84 : 12,733.47 = 5,247.50 : x
  2. Step 2: Convert to fraction form
    9,227.84/12,733.47 = 5,247.50/x
  3. Step 3: Cross multiply
    9,227.84x = 12,733.47 × 5,247.50
  4. Step 4: Simplify right side
    9,227.84x = 66,818,820.16
  5. Step 5: Solve for x
    x = 66,818,820.16/9,227.84
  6. Step 6: Final answer
    x = 7,241.01

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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.