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Finding the Fourth Proportional to 9,536.71, 14,302.34 and 3,295.09

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Solution

The fourth proportional to 9,536.71, 14,302.34 and 3,295.09 is: 4,941.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536.71 : 14,302.34 = 3,295.09 : x
  2. Step 2: Convert to fraction form
    9,536.71/14,302.34 = 3,295.09/x
  3. Step 3: Cross multiply
    9,536.71x = 14,302.34 × 3,295.09
  4. Step 4: Simplify right side
    9,536.71x = 47,127,481.04
  5. Step 5: Solve for x
    x = 47,127,481.04/9,536.71
  6. Step 6: Final answer
    x = 4,941.69

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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.