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Finding the Fourth Proportional to 9,607.73, 14,410.51 and 2,588.26

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Solution

The fourth proportional to 9,607.73, 14,410.51 and 2,588.26 is: 3,882.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.73 : 14,410.51 = 2,588.26 : x
  2. Step 2: Convert to fraction form
    9,607.73/14,410.51 = 2,588.26/x
  3. Step 3: Cross multiply
    9,607.73x = 14,410.51 × 2,588.26
  4. Step 4: Simplify right side
    9,607.73x = 37,298,104.12
  5. Step 5: Solve for x
    x = 37,298,104.12/9,607.73
  6. Step 6: Final answer
    x = 3,882.10

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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.