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Finding the Fourth Proportional to 6,192.54, 9,322.07 and 5,557.50

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Solution

The fourth proportional to 6,192.54, 9,322.07 and 5,557.50 is: 8,366.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192.54 : 9,322.07 = 5,557.50 : x
  2. Step 2: Convert to fraction form
    6,192.54/9,322.07 = 5,557.50/x
  3. Step 3: Cross multiply
    6,192.54x = 9,322.07 × 5,557.50
  4. Step 4: Simplify right side
    6,192.54x = 51,807,376.24
  5. Step 5: Solve for x
    x = 51,807,376.24/6,192.54
  6. Step 6: Final answer
    x = 8,366.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.