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Finding the Fourth Proportional to 6,466.70, 9,683.85 and 4,814.30

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Solution

The fourth proportional to 6,466.70, 9,683.85 and 4,814.30 is: 7,209.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.70 : 9,683.85 = 4,814.30 : x
  2. Step 2: Convert to fraction form
    6,466.70/9,683.85 = 4,814.30/x
  3. Step 3: Cross multiply
    6,466.70x = 9,683.85 × 4,814.30
  4. Step 4: Simplify right side
    6,466.70x = 46,620,959.06
  5. Step 5: Solve for x
    x = 46,620,959.06/6,466.70
  6. Step 6: Final answer
    x = 7,209.39

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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.