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Finding the Fourth Proportional to 8,671.66, 13,009.14 and 3,477.94

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Solution

The fourth proportional to 8,671.66, 13,009.14 and 3,477.94 is: 5,217.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,671.66 : 13,009.14 = 3,477.94 : x
  2. Step 2: Convert to fraction form
    8,671.66/13,009.14 = 3,477.94/x
  3. Step 3: Cross multiply
    8,671.66x = 13,009.14 × 3,477.94
  4. Step 4: Simplify right side
    8,671.66x = 45,245,008.37
  5. Step 5: Solve for x
    x = 45,245,008.37/8,671.66
  6. Step 6: Final answer
    x = 5,217.57

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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.