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Finding the Fourth Proportional to 6,405.40, 9,609.32 and 4,412.52

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Solution

The fourth proportional to 6,405.40, 9,609.32 and 4,412.52 is: 6,619.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.40 : 9,609.32 = 4,412.52 : x
  2. Step 2: Convert to fraction form
    6,405.40/9,609.32 = 4,412.52/x
  3. Step 3: Cross multiply
    6,405.40x = 9,609.32 × 4,412.52
  4. Step 4: Simplify right side
    6,405.40x = 42,401,316.69
  5. Step 5: Solve for x
    x = 42,401,316.69/6,405.40
  6. Step 6: Final answer
    x = 6,619.62

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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.