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Finding the Fourth Proportional to 9,319.14, 13,953.87 and 7,842.96

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Solution

The fourth proportional to 9,319.14, 13,953.87 and 7,842.96 is: 11,743.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,319.14 : 13,953.87 = 7,842.96 : x
  2. Step 2: Convert to fraction form
    9,319.14/13,953.87 = 7,842.96/x
  3. Step 3: Cross multiply
    9,319.14x = 13,953.87 × 7,842.96
  4. Step 4: Simplify right side
    9,319.14x = 109,439,644.26
  5. Step 5: Solve for x
    x = 109,439,644.26/9,319.14
  6. Step 6: Final answer
    x = 11,743.53

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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.