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Finding the Fourth Proportional to 6,097.29, 9,135.15 and 2,803.47

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Solution

The fourth proportional to 6,097.29, 9,135.15 and 2,803.47 is: 4,200.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.29 : 9,135.15 = 2,803.47 : x
  2. Step 2: Convert to fraction form
    6,097.29/9,135.15 = 2,803.47/x
  3. Step 3: Cross multiply
    6,097.29x = 9,135.15 × 2,803.47
  4. Step 4: Simplify right side
    6,097.29x = 25,610,118.97
  5. Step 5: Solve for x
    x = 25,610,118.97/6,097.29
  6. Step 6: Final answer
    x = 4,200.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.