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Finding the Fourth Proportional to 7,100.76, 9,796.16 and 4,301.40

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Solution

The fourth proportional to 7,100.76, 9,796.16 and 4,301.40 is: 5,934.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.76 : 9,796.16 = 4,301.40 : x
  2. Step 2: Convert to fraction form
    7,100.76/9,796.16 = 4,301.40/x
  3. Step 3: Cross multiply
    7,100.76x = 9,796.16 × 4,301.40
  4. Step 4: Simplify right side
    7,100.76x = 42,137,202.62
  5. Step 5: Solve for x
    x = 42,137,202.62/7,100.76
  6. Step 6: Final answer
    x = 5,934.18

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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.