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Finding the Fourth Proportional to 9,662.51, 14,491.42 and 2,642.56

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Solution

The fourth proportional to 9,662.51, 14,491.42 and 2,642.56 is: 3,963.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.51 : 14,491.42 = 2,642.56 : x
  2. Step 2: Convert to fraction form
    9,662.51/14,491.42 = 2,642.56/x
  3. Step 3: Cross multiply
    9,662.51x = 14,491.42 × 2,642.56
  4. Step 4: Simplify right side
    9,662.51x = 38,294,404.00
  5. Step 5: Solve for x
    x = 38,294,404.00/9,662.51
  6. Step 6: Final answer
    x = 3,963.19

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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.