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Finding the Fourth Proportional to 6,321.70, 9,466.35 and 4,669.30

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Solution

The fourth proportional to 6,321.70, 9,466.35 and 4,669.30 is: 6,991.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321.70 : 9,466.35 = 4,669.30 : x
  2. Step 2: Convert to fraction form
    6,321.70/9,466.35 = 4,669.30/x
  3. Step 3: Cross multiply
    6,321.70x = 9,466.35 × 4,669.30
  4. Step 4: Simplify right side
    6,321.70x = 44,201,228.06
  5. Step 5: Solve for x
    x = 44,201,228.06/6,321.70
  6. Step 6: Final answer
    x = 6,991.98

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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.