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Finding the Fourth Proportional to 6,542.16, 9,807.70 and 2,841.60

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Solution

The fourth proportional to 6,542.16, 9,807.70 and 2,841.60 is: 4,259.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.16 : 9,807.70 = 2,841.60 : x
  2. Step 2: Convert to fraction form
    6,542.16/9,807.70 = 2,841.60/x
  3. Step 3: Cross multiply
    6,542.16x = 9,807.70 × 2,841.60
  4. Step 4: Simplify right side
    6,542.16x = 27,869,560.32
  5. Step 5: Solve for x
    x = 27,869,560.32/6,542.16
  6. Step 6: Final answer
    x = 4,259.99

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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.