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Finding the Fourth Proportional to 9,775.77, 14,663.61 and 2,380.20

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Solution

The fourth proportional to 9,775.77, 14,663.61 and 2,380.20 is: 3,570.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.77 : 14,663.61 = 2,380.20 : x
  2. Step 2: Convert to fraction form
    9,775.77/14,663.61 = 2,380.20/x
  3. Step 3: Cross multiply
    9,775.77x = 14,663.61 × 2,380.20
  4. Step 4: Simplify right side
    9,775.77x = 34,902,324.52
  5. Step 5: Solve for x
    x = 34,902,324.52/9,775.77
  6. Step 6: Final answer
    x = 3,570.29

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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.