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Finding the Fourth Proportional to 9,982.35, 13,775.22 and 5,730.48

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Solution

The fourth proportional to 9,982.35, 13,775.22 and 5,730.48 is: 7,907.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.35 : 13,775.22 = 5,730.48 : x
  2. Step 2: Convert to fraction form
    9,982.35/13,775.22 = 5,730.48/x
  3. Step 3: Cross multiply
    9,982.35x = 13,775.22 × 5,730.48
  4. Step 4: Simplify right side
    9,982.35x = 78,938,622.71
  5. Step 5: Solve for x
    x = 78,938,622.71/9,982.35
  6. Step 6: Final answer
    x = 7,907.82

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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.