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Finding the Fourth Proportional to 9,800.11, 14,700.97 and 5,878.14

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Solution

The fourth proportional to 9,800.11, 14,700.97 and 5,878.14 is: 8,817.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.11 : 14,700.97 = 5,878.14 : x
  2. Step 2: Convert to fraction form
    9,800.11/14,700.97 = 5,878.14/x
  3. Step 3: Cross multiply
    9,800.11x = 14,700.97 × 5,878.14
  4. Step 4: Simplify right side
    9,800.11x = 86,414,256.90
  5. Step 5: Solve for x
    x = 86,414,256.90/9,800.11
  6. Step 6: Final answer
    x = 8,817.68

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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.