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Finding the Fourth Proportional to 9,900.17, 13,662.23 and 5,423.82

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Solution

The fourth proportional to 9,900.17, 13,662.23 and 5,423.82 is: 7,484.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.17 : 13,662.23 = 5,423.82 : x
  2. Step 2: Convert to fraction form
    9,900.17/13,662.23 = 5,423.82/x
  3. Step 3: Cross multiply
    9,900.17x = 13,662.23 × 5,423.82
  4. Step 4: Simplify right side
    9,900.17x = 74,101,476.32
  5. Step 5: Solve for x
    x = 74,101,476.32/9,900.17
  6. Step 6: Final answer
    x = 7,484.87

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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.