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Finding the Fourth Proportional to 9,305.34, 12,835.56 and 6,118.80

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Solution

The fourth proportional to 9,305.34, 12,835.56 and 6,118.80 is: 8,440.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.34 : 12,835.56 = 6,118.80 : x
  2. Step 2: Convert to fraction form
    9,305.34/12,835.56 = 6,118.80/x
  3. Step 3: Cross multiply
    9,305.34x = 12,835.56 × 6,118.80
  4. Step 4: Simplify right side
    9,305.34x = 78,538,224.53
  5. Step 5: Solve for x
    x = 78,538,224.53/9,305.34
  6. Step 6: Final answer
    x = 8,440.12

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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.