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Finding the Fourth Proportional to 9,414.90, 12,991.70 and 5,165.76

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Solution

The fourth proportional to 9,414.90, 12,991.70 and 5,165.76 is: 7,128.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.90 : 12,991.70 = 5,165.76 : x
  2. Step 2: Convert to fraction form
    9,414.90/12,991.70 = 5,165.76/x
  3. Step 3: Cross multiply
    9,414.90x = 12,991.70 × 5,165.76
  4. Step 4: Simplify right side
    9,414.90x = 67,112,004.19
  5. Step 5: Solve for x
    x = 67,112,004.19/9,414.90
  6. Step 6: Final answer
    x = 7,128.28

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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.