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Finding the Fourth Proportional to 8,339.04, 11,491.74 and 6,346.44

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Solution

The fourth proportional to 8,339.04, 11,491.74 and 6,346.44 is: 8,745.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,339.04 : 11,491.74 = 6,346.44 : x
  2. Step 2: Convert to fraction form
    8,339.04/11,491.74 = 6,346.44/x
  3. Step 3: Cross multiply
    8,339.04x = 11,491.74 × 6,346.44
  4. Step 4: Simplify right side
    8,339.04x = 72,931,638.41
  5. Step 5: Solve for x
    x = 72,931,638.41/8,339.04
  6. Step 6: Final answer
    x = 8,745.81

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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.