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Finding the Fourth Proportional to 9,558.68, 14,342.31 and 5,171.00

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Solution

The fourth proportional to 9,558.68, 14,342.31 and 5,171.00 is: 7,758.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,558.68 : 14,342.31 = 5,171.00 : x
  2. Step 2: Convert to fraction form
    9,558.68/14,342.31 = 5,171.00/x
  3. Step 3: Cross multiply
    9,558.68x = 14,342.31 × 5,171.00
  4. Step 4: Simplify right side
    9,558.68x = 74,164,013.30
  5. Step 5: Solve for x
    x = 74,164,013.30/9,558.68
  6. Step 6: Final answer
    x = 7,758.82

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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.