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Finding the Fourth Proportional to 9,607.82, 14,410.53 and 2,588.39

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Solution

The fourth proportional to 9,607.82, 14,410.53 and 2,588.39 is: 3,882.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.82 : 14,410.53 = 2,588.39 : x
  2. Step 2: Convert to fraction form
    9,607.82/14,410.53 = 2,588.39/x
  3. Step 3: Cross multiply
    9,607.82x = 14,410.53 × 2,588.39
  4. Step 4: Simplify right side
    9,607.82x = 37,299,999.69
  5. Step 5: Solve for x
    x = 37,299,999.69/9,607.82
  6. Step 6: Final answer
    x = 3,882.26

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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.