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Finding the Fourth Proportional to 6,289.56, 9,427.68 and 2,125.80

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Solution

The fourth proportional to 6,289.56, 9,427.68 and 2,125.80 is: 3,186.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.56 : 9,427.68 = 2,125.80 : x
  2. Step 2: Convert to fraction form
    6,289.56/9,427.68 = 2,125.80/x
  3. Step 3: Cross multiply
    6,289.56x = 9,427.68 × 2,125.80
  4. Step 4: Simplify right side
    6,289.56x = 20,041,362.14
  5. Step 5: Solve for x
    x = 20,041,362.14/6,289.56
  6. Step 6: Final answer
    x = 3,186.45

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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.