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Finding the Fourth Proportional to 9,499.31, 14,236.55 and 5,107.31

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Solution

The fourth proportional to 9,499.31, 14,236.55 and 5,107.31 is: 7,654.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,499.31 : 14,236.55 = 5,107.31 : x
  2. Step 2: Convert to fraction form
    9,499.31/14,236.55 = 5,107.31/x
  3. Step 3: Cross multiply
    9,499.31x = 14,236.55 × 5,107.31
  4. Step 4: Simplify right side
    9,499.31x = 72,710,448.64
  5. Step 5: Solve for x
    x = 72,710,448.64/9,499.31
  6. Step 6: Final answer
    x = 7,654.29

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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.