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Finding the Fourth Proportional to 9,566.01, 14,342.09 and 6,438.26

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Solution

The fourth proportional to 9,566.01, 14,342.09 and 6,438.26 is: 9,652.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.01 : 14,342.09 = 6,438.26 : x
  2. Step 2: Convert to fraction form
    9,566.01/14,342.09 = 6,438.26/x
  3. Step 3: Cross multiply
    9,566.01x = 14,342.09 × 6,438.26
  4. Step 4: Simplify right side
    9,566.01x = 92,338,104.36
  5. Step 5: Solve for x
    x = 92,338,104.36/9,566.01
  6. Step 6: Final answer
    x = 9,652.73

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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.