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Finding the Fourth Proportional to 9,615.21, 14,431.73 and 5,924.66

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Solution

The fourth proportional to 9,615.21, 14,431.73 and 5,924.66 is: 8,892.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615.21 : 14,431.73 = 5,924.66 : x
  2. Step 2: Convert to fraction form
    9,615.21/14,431.73 = 5,924.66/x
  3. Step 3: Cross multiply
    9,615.21x = 14,431.73 × 5,924.66
  4. Step 4: Simplify right side
    9,615.21x = 85,502,991.68
  5. Step 5: Solve for x
    x = 85,502,991.68/9,615.21
  6. Step 6: Final answer
    x = 8,892.47

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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.