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Finding the Fourth Proportional to 9,020.12, 13,503.72 and 6,837.44

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Solution

The fourth proportional to 9,020.12, 13,503.72 and 6,837.44 is: 10,236.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,020.12 : 13,503.72 = 6,837.44 : x
  2. Step 2: Convert to fraction form
    9,020.12/13,503.72 = 6,837.44/x
  3. Step 3: Cross multiply
    9,020.12x = 13,503.72 × 6,837.44
  4. Step 4: Simplify right side
    9,020.12x = 92,330,875.28
  5. Step 5: Solve for x
    x = 92,330,875.28/9,020.12
  6. Step 6: Final answer
    x = 10,236.10

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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.