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Finding the Fourth Proportional to 8,996.68, 12,416.93 and 5,462.25

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Solution

The fourth proportional to 8,996.68, 12,416.93 and 5,462.25 is: 7,538.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,996.68 : 12,416.93 = 5,462.25 : x
  2. Step 2: Convert to fraction form
    8,996.68/12,416.93 = 5,462.25/x
  3. Step 3: Cross multiply
    8,996.68x = 12,416.93 × 5,462.25
  4. Step 4: Simplify right side
    8,996.68x = 67,824,375.89
  5. Step 5: Solve for x
    x = 67,824,375.89/8,996.68
  6. Step 6: Final answer
    x = 7,538.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.