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Finding the Fourth Proportional to 9,233.84, 12,742.72 and 5,254.99

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Solution

The fourth proportional to 9,233.84, 12,742.72 and 5,254.99 is: 7,251.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233.84 : 12,742.72 = 5,254.99 : x
  2. Step 2: Convert to fraction form
    9,233.84/12,742.72 = 5,254.99/x
  3. Step 3: Cross multiply
    9,233.84x = 12,742.72 × 5,254.99
  4. Step 4: Simplify right side
    9,233.84x = 66,962,821.18
  5. Step 5: Solve for x
    x = 66,962,821.18/9,233.84
  6. Step 6: Final answer
    x = 7,251.89

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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.