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Finding the Fourth Proportional to 9,537.71, 14,303.83 and 3,296.09

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Solution

The fourth proportional to 9,537.71, 14,303.83 and 3,296.09 is: 4,943.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.71 : 14,303.83 = 3,296.09 : x
  2. Step 2: Convert to fraction form
    9,537.71/14,303.83 = 3,296.09/x
  3. Step 3: Cross multiply
    9,537.71x = 14,303.83 × 3,296.09
  4. Step 4: Simplify right side
    9,537.71x = 47,146,711.02
  5. Step 5: Solve for x
    x = 47,146,711.02/9,537.71
  6. Step 6: Final answer
    x = 4,943.19

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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.