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Finding the Fourth Proportional to 9,264.50, 13,898.19 and 3,109.94

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Solution

The fourth proportional to 9,264.50, 13,898.19 and 3,109.94 is: 4,665.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.50 : 13,898.19 = 3,109.94 : x
  2. Step 2: Convert to fraction form
    9,264.50/13,898.19 = 3,109.94/x
  3. Step 3: Cross multiply
    9,264.50x = 13,898.19 × 3,109.94
  4. Step 4: Simplify right side
    9,264.50x = 43,222,537.01
  5. Step 5: Solve for x
    x = 43,222,537.01/9,264.50
  6. Step 6: Final answer
    x = 4,665.39

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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.