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Finding the Fourth Proportional to 6,020, 9,035.12 and 3,713.44

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Solution

The fourth proportional to 6,020, 9,035.12 and 3,713.44 is: 5,573.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,020 : 9,035.12 = 3,713.44 : x
  2. Step 2: Convert to fraction form
    6,020/9,035.12 = 3,713.44/x
  3. Step 3: Cross multiply
    6,020x = 9,035.12 × 3,713.44
  4. Step 4: Simplify right side
    6,020x = 33,551,376.01
  5. Step 5: Solve for x
    x = 33,551,376.01/6,020
  6. Step 6: Final answer
    x = 5,573.32

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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.