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Finding the Fourth Proportional to 9,743.57, 13,447.44 and 5,495.50

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Solution

The fourth proportional to 9,743.57, 13,447.44 and 5,495.50 is: 7,584.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,743.57 : 13,447.44 = 5,495.50 : x
  2. Step 2: Convert to fraction form
    9,743.57/13,447.44 = 5,495.50/x
  3. Step 3: Cross multiply
    9,743.57x = 13,447.44 × 5,495.50
  4. Step 4: Simplify right side
    9,743.57x = 73,900,311.81
  5. Step 5: Solve for x
    x = 73,900,311.81/9,743.57
  6. Step 6: Final answer
    x = 7,584.52

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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.