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Finding the Fourth Proportional to 10,466.66, 14,435.34 and 6,930.20

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Solution

The fourth proportional to 10,466.66, 14,435.34 and 6,930.20 is: 9,557.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.66 : 14,435.34 = 6,930.20 : x
  2. Step 2: Convert to fraction form
    10,466.66/14,435.34 = 6,930.20/x
  3. Step 3: Cross multiply
    10,466.66x = 14,435.34 × 6,930.20
  4. Step 4: Simplify right side
    10,466.66x = 100,039,793.27
  5. Step 5: Solve for x
    x = 100,039,793.27/10,466.66
  6. Step 6: Final answer
    x = 9,557.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.