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Finding the Fourth Proportional to 9,322.56, 12,851.87 and 7,440.12

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Solution

The fourth proportional to 9,322.56, 12,851.87 and 7,440.12 is: 10,256.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.56 : 12,851.87 = 7,440.12 : x
  2. Step 2: Convert to fraction form
    9,322.56/12,851.87 = 7,440.12/x
  3. Step 3: Cross multiply
    9,322.56x = 12,851.87 × 7,440.12
  4. Step 4: Simplify right side
    9,322.56x = 95,619,417.82
  5. Step 5: Solve for x
    x = 95,619,417.82/9,322.56
  6. Step 6: Final answer
    x = 10,256.78

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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.