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Finding the Fourth Proportional to 9,607.68, 14,402.92 and 3,768.36

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Solution

The fourth proportional to 9,607.68, 14,402.92 and 3,768.36 is: 5,649.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.68 : 14,402.92 = 3,768.36 : x
  2. Step 2: Convert to fraction form
    9,607.68/14,402.92 = 3,768.36/x
  3. Step 3: Cross multiply
    9,607.68x = 14,402.92 × 3,768.36
  4. Step 4: Simplify right side
    9,607.68x = 54,275,387.61
  5. Step 5: Solve for x
    x = 54,275,387.61/9,607.68
  6. Step 6: Final answer
    x = 5,649.17

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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.