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Finding the Fourth Proportional to 6,200.42, 9,301.24 and 2,038.74

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Solution

The fourth proportional to 6,200.42, 9,301.24 and 2,038.74 is: 3,058.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.42 : 9,301.24 = 2,038.74 : x
  2. Step 2: Convert to fraction form
    6,200.42/9,301.24 = 2,038.74/x
  3. Step 3: Cross multiply
    6,200.42x = 9,301.24 × 2,038.74
  4. Step 4: Simplify right side
    6,200.42x = 18,962,810.04
  5. Step 5: Solve for x
    x = 18,962,810.04/6,200.42
  6. Step 6: Final answer
    x = 3,058.31

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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.