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Finding the Fourth Proportional to 6,322.54, 9,485.02 and 2,426.64

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Solution

The fourth proportional to 6,322.54, 9,485.02 and 2,426.64 is: 3,640.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.54 : 9,485.02 = 2,426.64 : x
  2. Step 2: Convert to fraction form
    6,322.54/9,485.02 = 2,426.64/x
  3. Step 3: Cross multiply
    6,322.54x = 9,485.02 × 2,426.64
  4. Step 4: Simplify right side
    6,322.54x = 23,016,681.51
  5. Step 5: Solve for x
    x = 23,016,681.51/6,322.54
  6. Step 6: Final answer
    x = 3,640.42

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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.