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Finding the Fourth Proportional to 9,982.46, 14,935.62 and 6,019.14

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Solution

The fourth proportional to 9,982.46, 14,935.62 and 6,019.14 is: 9,005.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.46 : 14,935.62 = 6,019.14 : x
  2. Step 2: Convert to fraction form
    9,982.46/14,935.62 = 6,019.14/x
  3. Step 3: Cross multiply
    9,982.46x = 14,935.62 × 6,019.14
  4. Step 4: Simplify right side
    9,982.46x = 89,899,587.77
  5. Step 5: Solve for x
    x = 89,899,587.77/9,982.46
  6. Step 6: Final answer
    x = 9,005.75

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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.