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Finding the Fourth Proportional to 9,687.06, 13,368.24 and 5,494.50

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Solution

The fourth proportional to 9,687.06, 13,368.24 and 5,494.50 is: 7,582.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.06 : 13,368.24 = 5,494.50 : x
  2. Step 2: Convert to fraction form
    9,687.06/13,368.24 = 5,494.50/x
  3. Step 3: Cross multiply
    9,687.06x = 13,368.24 × 5,494.50
  4. Step 4: Simplify right side
    9,687.06x = 73,451,794.68
  5. Step 5: Solve for x
    x = 73,451,794.68/9,687.06
  6. Step 6: Final answer
    x = 7,582.47

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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.