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Finding the Fourth Proportional to 6,405.32, 9,608.70 and 2,021.48

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Solution

The fourth proportional to 6,405.32, 9,608.70 and 2,021.48 is: 3,032.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.32 : 9,608.70 = 2,021.48 : x
  2. Step 2: Convert to fraction form
    6,405.32/9,608.70 = 2,021.48/x
  3. Step 3: Cross multiply
    6,405.32x = 9,608.70 × 2,021.48
  4. Step 4: Simplify right side
    6,405.32x = 19,423,794.88
  5. Step 5: Solve for x
    x = 19,423,794.88/6,405.32
  6. Step 6: Final answer
    x = 3,032.45

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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.