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Finding the Fourth Proportional to 6,289.84, 9,436.28 and 1,907.04

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Solution

The fourth proportional to 6,289.84, 9,436.28 and 1,907.04 is: 2,861.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.84 : 9,436.28 = 1,907.04 : x
  2. Step 2: Convert to fraction form
    6,289.84/9,436.28 = 1,907.04/x
  3. Step 3: Cross multiply
    6,289.84x = 9,436.28 × 1,907.04
  4. Step 4: Simplify right side
    6,289.84x = 17,995,363.41
  5. Step 5: Solve for x
    x = 17,995,363.41/6,289.84
  6. Step 6: Final answer
    x = 2,861.02

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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.