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Finding the Fourth Proportional to 7,138.40, 9,851.00 and 3,994.59

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Solution

The fourth proportional to 7,138.40, 9,851.00 and 3,994.59 is: 5,512.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.40 : 9,851.00 = 3,994.59 : x
  2. Step 2: Convert to fraction form
    7,138.40/9,851.00 = 3,994.59/x
  3. Step 3: Cross multiply
    7,138.40x = 9,851.00 × 3,994.59
  4. Step 4: Simplify right side
    7,138.40x = 39,350,686.12
  5. Step 5: Solve for x
    x = 39,350,686.12/7,138.40
  6. Step 6: Final answer
    x = 5,512.53

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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.