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Finding the Fourth Proportional to 10,443, 14,414.58 and 6,717

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Solution

The fourth proportional to 10,443, 14,414.58 and 6,717 is: 9,271.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443 : 14,414.58 = 6,717 : x
  2. Step 2: Convert to fraction form
    10,443/14,414.58 = 6,717/x
  3. Step 3: Cross multiply
    10,443x = 14,414.58 × 6,717
  4. Step 4: Simplify right side
    10,443x = 96,822,733.86
  5. Step 5: Solve for x
    x = 96,822,733.86/10,443
  6. Step 6: Final answer
    x = 9,271.54

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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.