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Finding the Fourth Proportional to 6,128.30, 9,188.98 and 5,605.85

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Solution

The fourth proportional to 6,128.30, 9,188.98 and 5,605.85 is: 8,405.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128.30 : 9,188.98 = 5,605.85 : x
  2. Step 2: Convert to fraction form
    6,128.30/9,188.98 = 5,605.85/x
  3. Step 3: Cross multiply
    6,128.30x = 9,188.98 × 5,605.85
  4. Step 4: Simplify right side
    6,128.30x = 51,512,043.53
  5. Step 5: Solve for x
    x = 51,512,043.53/6,128.30
  6. Step 6: Final answer
    x = 8,405.60

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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.