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Finding the Fourth Proportional to 6,438.48, 9,655.05 and 4,359.06

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Solution

The fourth proportional to 6,438.48, 9,655.05 and 4,359.06 is: 6,536.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.48 : 9,655.05 = 4,359.06 : x
  2. Step 2: Convert to fraction form
    6,438.48/9,655.05 = 4,359.06/x
  3. Step 3: Cross multiply
    6,438.48x = 9,655.05 × 4,359.06
  4. Step 4: Simplify right side
    6,438.48x = 42,086,942.25
  5. Step 5: Solve for x
    x = 42,086,942.25/6,438.48
  6. Step 6: Final answer
    x = 6,536.78

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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.