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Finding the Fourth Proportional to 9,286.83, 12,810.02 and 5,699.88

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Solution

The fourth proportional to 9,286.83, 12,810.02 and 5,699.88 is: 7,862.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.83 : 12,810.02 = 5,699.88 : x
  2. Step 2: Convert to fraction form
    9,286.83/12,810.02 = 5,699.88/x
  3. Step 3: Cross multiply
    9,286.83x = 12,810.02 × 5,699.88
  4. Step 4: Simplify right side
    9,286.83x = 73,015,548.30
  5. Step 5: Solve for x
    x = 73,015,548.30/9,286.83
  6. Step 6: Final answer
    x = 7,862.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.