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Finding the Fourth Proportional to 9,856.26, 13,576.13 and 6,866.75

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Solution

The fourth proportional to 9,856.26, 13,576.13 and 6,866.75 is: 9,458.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.26 : 13,576.13 = 6,866.75 : x
  2. Step 2: Convert to fraction form
    9,856.26/13,576.13 = 6,866.75/x
  3. Step 3: Cross multiply
    9,856.26x = 13,576.13 × 6,866.75
  4. Step 4: Simplify right side
    9,856.26x = 93,223,890.68
  5. Step 5: Solve for x
    x = 93,223,890.68/9,856.26
  6. Step 6: Final answer
    x = 9,458.34

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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.