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Finding the Fourth Proportional to 9,230.83, 13,858.54 and 7,853.02

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Solution

The fourth proportional to 9,230.83, 13,858.54 and 7,853.02 is: 11,789.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.83 : 13,858.54 = 7,853.02 : x
  2. Step 2: Convert to fraction form
    9,230.83/13,858.54 = 7,853.02/x
  3. Step 3: Cross multiply
    9,230.83x = 13,858.54 × 7,853.02
  4. Step 4: Simplify right side
    9,230.83x = 108,831,381.69
  5. Step 5: Solve for x
    x = 108,831,381.69/9,230.83
  6. Step 6: Final answer
    x = 11,789.99

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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.