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Finding the Fourth Proportional to 6,322.32, 9,485.10 and 2,427.03

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Solution

The fourth proportional to 6,322.32, 9,485.10 and 2,427.03 is: 3,641.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.32 : 9,485.10 = 2,427.03 : x
  2. Step 2: Convert to fraction form
    6,322.32/9,485.10 = 2,427.03/x
  3. Step 3: Cross multiply
    6,322.32x = 9,485.10 × 2,427.03
  4. Step 4: Simplify right side
    6,322.32x = 23,020,622.25
  5. Step 5: Solve for x
    x = 23,020,622.25/6,322.32
  6. Step 6: Final answer
    x = 3,641.17

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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.