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Finding the Fourth Proportional to 7,154.46, 9,873.36 and 4,170.42

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Solution

The fourth proportional to 7,154.46, 9,873.36 and 4,170.42 is: 5,755.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.46 : 9,873.36 = 4,170.42 : x
  2. Step 2: Convert to fraction form
    7,154.46/9,873.36 = 4,170.42/x
  3. Step 3: Cross multiply
    7,154.46x = 9,873.36 × 4,170.42
  4. Step 4: Simplify right side
    7,154.46x = 41,176,058.01
  5. Step 5: Solve for x
    x = 41,176,058.01/7,154.46
  6. Step 6: Final answer
    x = 5,755.30

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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.