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Finding the Fourth Proportional to 9,743.56, 14,622.90 and 3,904

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Solution

The fourth proportional to 9,743.56, 14,622.90 and 3,904 is: 5,859.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,743.56 : 14,622.90 = 3,904 : x
  2. Step 2: Convert to fraction form
    9,743.56/14,622.90 = 3,904/x
  3. Step 3: Cross multiply
    9,743.56x = 14,622.90 × 3,904
  4. Step 4: Simplify right side
    9,743.56x = 57,087,801.60
  5. Step 5: Solve for x
    x = 57,087,801.60/9,743.56
  6. Step 6: Final answer
    x = 5,859.03

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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.