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Finding the Fourth Proportional to 10,097.45, 13,923.65 and 6,319.31

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Solution

The fourth proportional to 10,097.45, 13,923.65 and 6,319.31 is: 8,713.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.45 : 13,923.65 = 6,319.31 : x
  2. Step 2: Convert to fraction form
    10,097.45/13,923.65 = 6,319.31/x
  3. Step 3: Cross multiply
    10,097.45x = 13,923.65 × 6,319.31
  4. Step 4: Simplify right side
    10,097.45x = 87,987,759.47
  5. Step 5: Solve for x
    x = 87,987,759.47/10,097.45
  6. Step 6: Final answer
    x = 8,713.86

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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.