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Finding the Fourth Proportional to 6,358.98, 9,540.90 and 3,071.81

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Solution

The fourth proportional to 6,358.98, 9,540.90 and 3,071.81 is: 4,608.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.98 : 9,540.90 = 3,071.81 : x
  2. Step 2: Convert to fraction form
    6,358.98/9,540.90 = 3,071.81/x
  3. Step 3: Cross multiply
    6,358.98x = 9,540.90 × 3,071.81
  4. Step 4: Simplify right side
    6,358.98x = 29,307,784.32
  5. Step 5: Solve for x
    x = 29,307,784.32/6,358.98
  6. Step 6: Final answer
    x = 4,608.88

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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.