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Finding the Fourth Proportional to 9,454.56, 14,121.12 and 6,849.60

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Solution

The fourth proportional to 9,454.56, 14,121.12 and 6,849.60 is: 10,230.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454.56 : 14,121.12 = 6,849.60 : x
  2. Step 2: Convert to fraction form
    9,454.56/14,121.12 = 6,849.60/x
  3. Step 3: Cross multiply
    9,454.56x = 14,121.12 × 6,849.60
  4. Step 4: Simplify right side
    9,454.56x = 96,724,023.55
  5. Step 5: Solve for x
    x = 96,724,023.55/9,454.56
  6. Step 6: Final answer
    x = 10,230.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.