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Finding the Fourth Proportional to 9,442.83, 13,029.63 and 5,464.32

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Solution

The fourth proportional to 9,442.83, 13,029.63 and 5,464.32 is: 7,539.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.83 : 13,029.63 = 5,464.32 : x
  2. Step 2: Convert to fraction form
    9,442.83/13,029.63 = 5,464.32/x
  3. Step 3: Cross multiply
    9,442.83x = 13,029.63 × 5,464.32
  4. Step 4: Simplify right side
    9,442.83x = 71,198,067.80
  5. Step 5: Solve for x
    x = 71,198,067.80/9,442.83
  6. Step 6: Final answer
    x = 7,539.91

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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.