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Finding the Fourth Proportional to 9,689.25, 14,533.99 and 3,115.43

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Solution

The fourth proportional to 9,689.25, 14,533.99 and 3,115.43 is: 4,673.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.25 : 14,533.99 = 3,115.43 : x
  2. Step 2: Convert to fraction form
    9,689.25/14,533.99 = 3,115.43/x
  3. Step 3: Cross multiply
    9,689.25x = 14,533.99 × 3,115.43
  4. Step 4: Simplify right side
    9,689.25x = 45,279,548.01
  5. Step 5: Solve for x
    x = 45,279,548.01/9,689.25
  6. Step 6: Final answer
    x = 4,673.17

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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.