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Finding the Fourth Proportional to 9,775.83, 13,490.31 and 5,794.58

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Solution

The fourth proportional to 9,775.83, 13,490.31 and 5,794.58 is: 7,996.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.83 : 13,490.31 = 5,794.58 : x
  2. Step 2: Convert to fraction form
    9,775.83/13,490.31 = 5,794.58/x
  3. Step 3: Cross multiply
    9,775.83x = 13,490.31 × 5,794.58
  4. Step 4: Simplify right side
    9,775.83x = 78,170,680.52
  5. Step 5: Solve for x
    x = 78,170,680.52/9,775.83
  6. Step 6: Final answer
    x = 7,996.32

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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.