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Finding the Fourth Proportional to 9,243.64, 12,756.14 and 5,211.76

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Solution

The fourth proportional to 9,243.64, 12,756.14 and 5,211.76 is: 7,192.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.64 : 12,756.14 = 5,211.76 : x
  2. Step 2: Convert to fraction form
    9,243.64/12,756.14 = 5,211.76/x
  3. Step 3: Cross multiply
    9,243.64x = 12,756.14 × 5,211.76
  4. Step 4: Simplify right side
    9,243.64x = 66,481,940.21
  5. Step 5: Solve for x
    x = 66,481,940.21/9,243.64
  6. Step 6: Final answer
    x = 7,192.18

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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.