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Finding the Fourth Proportional to 9,697.06, 13,381.90 and 5,447.54

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Solution

The fourth proportional to 9,697.06, 13,381.90 and 5,447.54 is: 7,517.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.06 : 13,381.90 = 5,447.54 : x
  2. Step 2: Convert to fraction form
    9,697.06/13,381.90 = 5,447.54/x
  3. Step 3: Cross multiply
    9,697.06x = 13,381.90 × 5,447.54
  4. Step 4: Simplify right side
    9,697.06x = 72,898,435.53
  5. Step 5: Solve for x
    x = 72,898,435.53/9,697.06
  6. Step 6: Final answer
    x = 7,517.58

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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.