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Finding the Fourth Proportional to 6,308.20, 9,462.54 and 2,410.36

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Solution

The fourth proportional to 6,308.20, 9,462.54 and 2,410.36 is: 3,615.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.20 : 9,462.54 = 2,410.36 : x
  2. Step 2: Convert to fraction form
    6,308.20/9,462.54 = 2,410.36/x
  3. Step 3: Cross multiply
    6,308.20x = 9,462.54 × 2,410.36
  4. Step 4: Simplify right side
    6,308.20x = 22,808,127.91
  5. Step 5: Solve for x
    x = 22,808,127.91/6,308.20
  6. Step 6: Final answer
    x = 3,615.63

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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.