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Finding the Fourth Proportional to 9,660.62, 14,483.84 and 3,083.01

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Solution

The fourth proportional to 9,660.62, 14,483.84 and 3,083.01 is: 4,622.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660.62 : 14,483.84 = 3,083.01 : x
  2. Step 2: Convert to fraction form
    9,660.62/14,483.84 = 3,083.01/x
  3. Step 3: Cross multiply
    9,660.62x = 14,483.84 × 3,083.01
  4. Step 4: Simplify right side
    9,660.62x = 44,653,808.14
  5. Step 5: Solve for x
    x = 44,653,808.14/9,660.62
  6. Step 6: Final answer
    x = 4,622.25

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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.