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Finding the Fourth Proportional to 9,921.10, 13,691.54 and 5,941.45

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Solution

The fourth proportional to 9,921.10, 13,691.54 and 5,941.45 is: 8,199.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,921.10 : 13,691.54 = 5,941.45 : x
  2. Step 2: Convert to fraction form
    9,921.10/13,691.54 = 5,941.45/x
  3. Step 3: Cross multiply
    9,921.10x = 13,691.54 × 5,941.45
  4. Step 4: Simplify right side
    9,921.10x = 81,347,580.96
  5. Step 5: Solve for x
    x = 81,347,580.96/9,921.10
  6. Step 6: Final answer
    x = 8,199.45

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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.