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Finding the Fourth Proportional to 6,102.42, 9,154.99 and 2,592.54

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Solution

The fourth proportional to 6,102.42, 9,154.99 and 2,592.54 is: 3,889.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.42 : 9,154.99 = 2,592.54 : x
  2. Step 2: Convert to fraction form
    6,102.42/9,154.99 = 2,592.54/x
  3. Step 3: Cross multiply
    6,102.42x = 9,154.99 × 2,592.54
  4. Step 4: Simplify right side
    6,102.42x = 23,734,681.02
  5. Step 5: Solve for x
    x = 23,734,681.02/6,102.42
  6. Step 6: Final answer
    x = 3,889.39

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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.