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Finding the Fourth Proportional to 6,552.94, 9,824.01 and 4,356.22

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Solution

The fourth proportional to 6,552.94, 9,824.01 and 4,356.22 is: 6,530.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552.94 : 9,824.01 = 4,356.22 : x
  2. Step 2: Convert to fraction form
    6,552.94/9,824.01 = 4,356.22/x
  3. Step 3: Cross multiply
    6,552.94x = 9,824.01 × 4,356.22
  4. Step 4: Simplify right side
    6,552.94x = 42,795,548.84
  5. Step 5: Solve for x
    x = 42,795,548.84/6,552.94
  6. Step 6: Final answer
    x = 6,530.74

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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.