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Finding the Fourth Proportional to 9,697.41, 14,543.69 and 3,121.83

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Solution

The fourth proportional to 9,697.41, 14,543.69 and 3,121.83 is: 4,681.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.41 : 14,543.69 = 3,121.83 : x
  2. Step 2: Convert to fraction form
    9,697.41/14,543.69 = 3,121.83/x
  3. Step 3: Cross multiply
    9,697.41x = 14,543.69 × 3,121.83
  4. Step 4: Simplify right side
    9,697.41x = 45,402,912.14
  5. Step 5: Solve for x
    x = 45,402,912.14/9,697.41
  6. Step 6: Final answer
    x = 4,681.96

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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.