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Finding the Fourth Proportional to 9,253.31, 13,857.89 and 5,345.87

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Solution

The fourth proportional to 9,253.31, 13,857.89 and 5,345.87 is: 8,006.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253.31 : 13,857.89 = 5,345.87 : x
  2. Step 2: Convert to fraction form
    9,253.31/13,857.89 = 5,345.87/x
  3. Step 3: Cross multiply
    9,253.31x = 13,857.89 × 5,345.87
  4. Step 4: Simplify right side
    9,253.31x = 74,082,382.40
  5. Step 5: Solve for x
    x = 74,082,382.40/9,253.31
  6. Step 6: Final answer
    x = 8,006.05

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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.