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Finding the Fourth Proportional to 9,564.88, 14,346.92 and 3,326.30

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Solution

The fourth proportional to 9,564.88, 14,346.92 and 3,326.30 is: 4,989.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.88 : 14,346.92 = 3,326.30 : x
  2. Step 2: Convert to fraction form
    9,564.88/14,346.92 = 3,326.30/x
  3. Step 3: Cross multiply
    9,564.88x = 14,346.92 × 3,326.30
  4. Step 4: Simplify right side
    9,564.88x = 47,722,160.00
  5. Step 5: Solve for x
    x = 47,722,160.00/9,564.88
  6. Step 6: Final answer
    x = 4,989.31

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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.