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Finding the Fourth Proportional to 6,089.44, 9,130.80 and 3,897.76

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Solution

The fourth proportional to 6,089.44, 9,130.80 and 3,897.76 is: 5,844.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.44 : 9,130.80 = 3,897.76 : x
  2. Step 2: Convert to fraction form
    6,089.44/9,130.80 = 3,897.76/x
  3. Step 3: Cross multiply
    6,089.44x = 9,130.80 × 3,897.76
  4. Step 4: Simplify right side
    6,089.44x = 35,589,667.01
  5. Step 5: Solve for x
    x = 35,589,667.01/6,089.44
  6. Step 6: Final answer
    x = 5,844.49

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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.