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Finding the Fourth Proportional to 9,921.57, 13,690.77 and 5,942.58

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Solution

The fourth proportional to 9,921.57, 13,690.77 and 5,942.58 is: 8,200.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,921.57 : 13,690.77 = 5,942.58 : x
  2. Step 2: Convert to fraction form
    9,921.57/13,690.77 = 5,942.58/x
  3. Step 3: Cross multiply
    9,921.57x = 13,690.77 × 5,942.58
  4. Step 4: Simplify right side
    9,921.57x = 81,358,423.49
  5. Step 5: Solve for x
    x = 81,358,423.49/9,921.57
  6. Step 6: Final answer
    x = 8,200.16

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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.