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Finding the Fourth Proportional to 6,322.32, 9,478.62 and 3,033.59

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Solution

The fourth proportional to 6,322.32, 9,478.62 and 3,033.59 is: 4,548.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.32 : 9,478.62 = 3,033.59 : x
  2. Step 2: Convert to fraction form
    6,322.32/9,478.62 = 3,033.59/x
  3. Step 3: Cross multiply
    6,322.32x = 9,478.62 × 3,033.59
  4. Step 4: Simplify right side
    6,322.32x = 28,754,199.45
  5. Step 5: Solve for x
    x = 28,754,199.45/6,322.32
  6. Step 6: Final answer
    x = 4,548.05

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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.