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Finding the Fourth Proportional to 7,389.43, 10,194.84 and 4,738.30

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Solution

The fourth proportional to 7,389.43, 10,194.84 and 4,738.30 is: 6,537.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,389.43 : 10,194.84 = 4,738.30 : x
  2. Step 2: Convert to fraction form
    7,389.43/10,194.84 = 4,738.30/x
  3. Step 3: Cross multiply
    7,389.43x = 10,194.84 × 4,738.30
  4. Step 4: Simplify right side
    7,389.43x = 48,306,210.37
  5. Step 5: Solve for x
    x = 48,306,210.37/7,389.43
  6. Step 6: Final answer
    x = 6,537.20

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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.