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Finding the Fourth Proportional to 9,892.18, 13,636.78 and 7,530.22

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Solution

The fourth proportional to 9,892.18, 13,636.78 and 7,530.22 is: 10,380.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.18 : 13,636.78 = 7,530.22 : x
  2. Step 2: Convert to fraction form
    9,892.18/13,636.78 = 7,530.22/x
  3. Step 3: Cross multiply
    9,892.18x = 13,636.78 × 7,530.22
  4. Step 4: Simplify right side
    9,892.18x = 102,687,953.49
  5. Step 5: Solve for x
    x = 102,687,953.49/9,892.18
  6. Step 6: Final answer
    x = 10,380.72

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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.