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Finding the Fourth Proportional to 9,665.67, 13,319.95 and 6,866.31

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Solution

The fourth proportional to 9,665.67, 13,319.95 and 6,866.31 is: 9,462.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.67 : 13,319.95 = 6,866.31 : x
  2. Step 2: Convert to fraction form
    9,665.67/13,319.95 = 6,866.31/x
  3. Step 3: Cross multiply
    9,665.67x = 13,319.95 × 6,866.31
  4. Step 4: Simplify right side
    9,665.67x = 91,458,871.55
  5. Step 5: Solve for x
    x = 91,458,871.55/9,665.67
  6. Step 6: Final answer
    x = 9,462.24

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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.