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Finding the Fourth Proportional to 6,295.32, 9,442.98 and 2,135.34

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Solution

The fourth proportional to 6,295.32, 9,442.98 and 2,135.34 is: 3,203.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.32 : 9,442.98 = 2,135.34 : x
  2. Step 2: Convert to fraction form
    6,295.32/9,442.98 = 2,135.34/x
  3. Step 3: Cross multiply
    6,295.32x = 9,442.98 × 2,135.34
  4. Step 4: Simplify right side
    6,295.32x = 20,163,972.91
  5. Step 5: Solve for x
    x = 20,163,972.91/6,295.32
  6. Step 6: Final answer
    x = 3,203.01

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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.