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Finding the Fourth Proportional to 9,400.97, 14,101.88 and 5,237.83

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Solution

The fourth proportional to 9,400.97, 14,101.88 and 5,237.83 is: 7,856.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.97 : 14,101.88 = 5,237.83 : x
  2. Step 2: Convert to fraction form
    9,400.97/14,101.88 = 5,237.83/x
  3. Step 3: Cross multiply
    9,400.97x = 14,101.88 × 5,237.83
  4. Step 4: Simplify right side
    9,400.97x = 73,863,250.12
  5. Step 5: Solve for x
    x = 73,863,250.12/9,400.97
  6. Step 6: Final answer
    x = 7,856.98

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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.