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Finding the Fourth Proportional to 9,322.48, 12,807.47 and 8,340.76

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Solution

The fourth proportional to 9,322.48, 12,807.47 and 8,340.76 is: 11,458.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.48 : 12,807.47 = 8,340.76 : x
  2. Step 2: Convert to fraction form
    9,322.48/12,807.47 = 8,340.76/x
  3. Step 3: Cross multiply
    9,322.48x = 12,807.47 × 8,340.76
  4. Step 4: Simplify right side
    9,322.48x = 106,824,033.48
  5. Step 5: Solve for x
    x = 106,824,033.48/9,322.48
  6. Step 6: Final answer
    x = 11,458.76

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.