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Finding the Fourth Proportional to 9,857.80, 14,801.10 and 4,025.80

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Solution

The fourth proportional to 9,857.80, 14,801.10 and 4,025.80 is: 6,044.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.80 : 14,801.10 = 4,025.80 : x
  2. Step 2: Convert to fraction form
    9,857.80/14,801.10 = 4,025.80/x
  3. Step 3: Cross multiply
    9,857.80x = 14,801.10 × 4,025.80
  4. Step 4: Simplify right side
    9,857.80x = 59,586,268.38
  5. Step 5: Solve for x
    x = 59,586,268.38/9,857.80
  6. Step 6: Final answer
    x = 6,044.58

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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.