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Finding the Fourth Proportional to 6,497.18, 9,730.29 and 4,149.91

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Solution

The fourth proportional to 6,497.18, 9,730.29 and 4,149.91 is: 6,214.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.18 : 9,730.29 = 4,149.91 : x
  2. Step 2: Convert to fraction form
    6,497.18/9,730.29 = 4,149.91/x
  3. Step 3: Cross multiply
    6,497.18x = 9,730.29 × 4,149.91
  4. Step 4: Simplify right side
    6,497.18x = 40,379,803.45
  5. Step 5: Solve for x
    x = 40,379,803.45/6,497.18
  6. Step 6: Final answer
    x = 6,214.98

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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.