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Finding the Fourth Proportional to 6,170.02, 9,255.09 and 1,787.50

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Solution

The fourth proportional to 6,170.02, 9,255.09 and 1,787.50 is: 2,681.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170.02 : 9,255.09 = 1,787.50 : x
  2. Step 2: Convert to fraction form
    6,170.02/9,255.09 = 1,787.50/x
  3. Step 3: Cross multiply
    6,170.02x = 9,255.09 × 1,787.50
  4. Step 4: Simplify right side
    6,170.02x = 16,543,473.38
  5. Step 5: Solve for x
    x = 16,543,473.38/6,170.02
  6. Step 6: Final answer
    x = 2,681.27

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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.