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Finding the Fourth Proportional to 6,598.20, 9,106.32 and 3,727.47

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Solution

The fourth proportional to 6,598.20, 9,106.32 and 3,727.47 is: 5,144.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.20 : 9,106.32 = 3,727.47 : x
  2. Step 2: Convert to fraction form
    6,598.20/9,106.32 = 3,727.47/x
  3. Step 3: Cross multiply
    6,598.20x = 9,106.32 × 3,727.47
  4. Step 4: Simplify right side
    6,598.20x = 33,943,534.61
  5. Step 5: Solve for x
    x = 33,943,534.61/6,598.20
  6. Step 6: Final answer
    x = 5,144.36

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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.