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Finding the Fourth Proportional to 6,350.40, 9,518.31 and 4,004.64

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Solution

The fourth proportional to 6,350.40, 9,518.31 and 4,004.64 is: 6,002.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,350.40 : 9,518.31 = 4,004.64 : x
  2. Step 2: Convert to fraction form
    6,350.40/9,518.31 = 4,004.64/x
  3. Step 3: Cross multiply
    6,350.40x = 9,518.31 × 4,004.64
  4. Step 4: Simplify right side
    6,350.40x = 38,117,404.96
  5. Step 5: Solve for x
    x = 38,117,404.96/6,350.40
  6. Step 6: Final answer
    x = 6,002.36

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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.