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Finding the Fourth Proportional to 6,137.61, 8,469.63 and 3,484.98

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Solution

The fourth proportional to 6,137.61, 8,469.63 and 3,484.98 is: 4,809.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.61 : 8,469.63 = 3,484.98 : x
  2. Step 2: Convert to fraction form
    6,137.61/8,469.63 = 3,484.98/x
  3. Step 3: Cross multiply
    6,137.61x = 8,469.63 × 3,484.98
  4. Step 4: Simplify right side
    6,137.61x = 29,516,491.16
  5. Step 5: Solve for x
    x = 29,516,491.16/6,137.61
  6. Step 6: Final answer
    x = 4,809.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.