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Finding the Fourth Proportional to 6,293.81, 9,442.41 and 5,605.21

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Solution

The fourth proportional to 6,293.81, 9,442.41 and 5,605.21 is: 8,409.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.81 : 9,442.41 = 5,605.21 : x
  2. Step 2: Convert to fraction form
    6,293.81/9,442.41 = 5,605.21/x
  3. Step 3: Cross multiply
    6,293.81x = 9,442.41 × 5,605.21
  4. Step 4: Simplify right side
    6,293.81x = 52,926,628.63
  5. Step 5: Solve for x
    x = 52,926,628.63/6,293.81
  6. Step 6: Final answer
    x = 8,409.32

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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.