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Finding the Fourth Proportional to 9,335.84, 14,006.12 and 2,762

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Solution

The fourth proportional to 9,335.84, 14,006.12 and 2,762 is: 4,143.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,335.84 : 14,006.12 = 2,762 : x
  2. Step 2: Convert to fraction form
    9,335.84/14,006.12 = 2,762/x
  3. Step 3: Cross multiply
    9,335.84x = 14,006.12 × 2,762
  4. Step 4: Simplify right side
    9,335.84x = 38,684,903.44
  5. Step 5: Solve for x
    x = 38,684,903.44/9,335.84
  6. Step 6: Final answer
    x = 4,143.70

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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.