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Finding the Fourth Proportional to 9,348.30, 14,020.38 and 3,800.16

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Solution

The fourth proportional to 9,348.30, 14,020.38 and 3,800.16 is: 5,699.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348.30 : 14,020.38 = 3,800.16 : x
  2. Step 2: Convert to fraction form
    9,348.30/14,020.38 = 3,800.16/x
  3. Step 3: Cross multiply
    9,348.30x = 14,020.38 × 3,800.16
  4. Step 4: Simplify right side
    9,348.30x = 53,279,687.26
  5. Step 5: Solve for x
    x = 53,279,687.26/9,348.30
  6. Step 6: Final answer
    x = 5,699.40

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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.