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Finding the Fourth Proportional to 9,775.17, 13,490.82 and 5,583.42

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Solution

The fourth proportional to 9,775.17, 13,490.82 and 5,583.42 is: 7,705.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.17 : 13,490.82 = 5,583.42 : x
  2. Step 2: Convert to fraction form
    9,775.17/13,490.82 = 5,583.42/x
  3. Step 3: Cross multiply
    9,775.17x = 13,490.82 × 5,583.42
  4. Step 4: Simplify right side
    9,775.17x = 75,324,914.20
  5. Step 5: Solve for x
    x = 75,324,914.20/9,775.17
  6. Step 6: Final answer
    x = 7,705.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.