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Finding the Fourth Proportional to 6,335.64, 9,509.67 and 3,420.18

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Solution

The fourth proportional to 6,335.64, 9,509.67 and 3,420.18 is: 5,133.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.64 : 9,509.67 = 3,420.18 : x
  2. Step 2: Convert to fraction form
    6,335.64/9,509.67 = 3,420.18/x
  3. Step 3: Cross multiply
    6,335.64x = 9,509.67 × 3,420.18
  4. Step 4: Simplify right side
    6,335.64x = 32,524,783.14
  5. Step 5: Solve for x
    x = 32,524,783.14/6,335.64
  6. Step 6: Final answer
    x = 5,133.62

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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.