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Finding the Fourth Proportional to 6,322.34, 9,478.83 and 3,032.30

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Solution

The fourth proportional to 6,322.34, 9,478.83 and 3,032.30 is: 4,546.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.34 : 9,478.83 = 3,032.30 : x
  2. Step 2: Convert to fraction form
    6,322.34/9,478.83 = 3,032.30/x
  3. Step 3: Cross multiply
    6,322.34x = 9,478.83 × 3,032.30
  4. Step 4: Simplify right side
    6,322.34x = 28,742,679.91
  5. Step 5: Solve for x
    x = 28,742,679.91/6,322.34
  6. Step 6: Final answer
    x = 4,546.21

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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.