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Finding the Fourth Proportional to 6,335.38, 9,497.97 and 4,354.98

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Solution

The fourth proportional to 6,335.38, 9,497.97 and 4,354.98 is: 6,528.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.38 : 9,497.97 = 4,354.98 : x
  2. Step 2: Convert to fraction form
    6,335.38/9,497.97 = 4,354.98/x
  3. Step 3: Cross multiply
    6,335.38x = 9,497.97 × 4,354.98
  4. Step 4: Simplify right side
    6,335.38x = 41,363,433.77
  5. Step 5: Solve for x
    x = 41,363,433.77/6,335.38
  6. Step 6: Final answer
    x = 6,528.96

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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.