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Finding the Fourth Proportional to 9,753.84, 14,612.40 and 4,817.72

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Solution

The fourth proportional to 9,753.84, 14,612.40 and 4,817.72 is: 7,217.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753.84 : 14,612.40 = 4,817.72 : x
  2. Step 2: Convert to fraction form
    9,753.84/14,612.40 = 4,817.72/x
  3. Step 3: Cross multiply
    9,753.84x = 14,612.40 × 4,817.72
  4. Step 4: Simplify right side
    9,753.84x = 70,398,451.73
  5. Step 5: Solve for x
    x = 70,398,451.73/9,753.84
  6. Step 6: Final answer
    x = 7,217.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.