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Finding the Fourth Proportional to 9,357.21, 13,974.17 and 8,323.85

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Solution

The fourth proportional to 9,357.21, 13,974.17 and 8,323.85 is: 12,430.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.21 : 13,974.17 = 8,323.85 : x
  2. Step 2: Convert to fraction form
    9,357.21/13,974.17 = 8,323.85/x
  3. Step 3: Cross multiply
    9,357.21x = 13,974.17 × 8,323.85
  4. Step 4: Simplify right side
    9,357.21x = 116,318,783.46
  5. Step 5: Solve for x
    x = 116,318,783.46/9,357.21
  6. Step 6: Final answer
    x = 12,430.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.