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Finding the Fourth Proportional to 9,347.89, 14,023.97 and 3,107.40

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Solution

The fourth proportional to 9,347.89, 14,023.97 and 3,107.40 is: 4,661.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347.89 : 14,023.97 = 3,107.40 : x
  2. Step 2: Convert to fraction form
    9,347.89/14,023.97 = 3,107.40/x
  3. Step 3: Cross multiply
    9,347.89x = 14,023.97 × 3,107.40
  4. Step 4: Simplify right side
    9,347.89x = 43,578,084.38
  5. Step 5: Solve for x
    x = 43,578,084.38/9,347.89
  6. Step 6: Final answer
    x = 4,661.81

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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.