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Finding the Fourth Proportional to 6,242.37, 9,363.85 and 2,346.47

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Solution

The fourth proportional to 6,242.37, 9,363.85 and 2,346.47 is: 3,519.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.37 : 9,363.85 = 2,346.47 : x
  2. Step 2: Convert to fraction form
    6,242.37/9,363.85 = 2,346.47/x
  3. Step 3: Cross multiply
    6,242.37x = 9,363.85 × 2,346.47
  4. Step 4: Simplify right side
    6,242.37x = 21,971,988.74
  5. Step 5: Solve for x
    x = 21,971,988.74/6,242.37
  6. Step 6: Final answer
    x = 3,519.82

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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.