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Finding the Fourth Proportional to 9,100.70, 13,633.55 and 5,580.44

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Solution

The fourth proportional to 9,100.70, 13,633.55 and 5,580.44 is: 8,359.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100.70 : 13,633.55 = 5,580.44 : x
  2. Step 2: Convert to fraction form
    9,100.70/13,633.55 = 5,580.44/x
  3. Step 3: Cross multiply
    9,100.70x = 13,633.55 × 5,580.44
  4. Step 4: Simplify right side
    9,100.70x = 76,081,145.40
  5. Step 5: Solve for x
    x = 76,081,145.40/9,100.70
  6. Step 6: Final answer
    x = 8,359.92

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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.