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Finding the Fourth Proportional to 9,561.90, 14,343.04 and 3,637.20

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Solution

The fourth proportional to 9,561.90, 14,343.04 and 3,637.20 is: 5,455.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561.90 : 14,343.04 = 3,637.20 : x
  2. Step 2: Convert to fraction form
    9,561.90/14,343.04 = 3,637.20/x
  3. Step 3: Cross multiply
    9,561.90x = 14,343.04 × 3,637.20
  4. Step 4: Simplify right side
    9,561.90x = 52,168,505.09
  5. Step 5: Solve for x
    x = 52,168,505.09/9,561.90
  6. Step 6: Final answer
    x = 5,455.87

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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.