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Finding the Fourth Proportional to 6,269.46, 9,405.27 and 1,886.28

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Solution

The fourth proportional to 6,269.46, 9,405.27 and 1,886.28 is: 2,829.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269.46 : 9,405.27 = 1,886.28 : x
  2. Step 2: Convert to fraction form
    6,269.46/9,405.27 = 1,886.28/x
  3. Step 3: Cross multiply
    6,269.46x = 9,405.27 × 1,886.28
  4. Step 4: Simplify right side
    6,269.46x = 17,740,972.70
  5. Step 5: Solve for x
    x = 17,740,972.70/6,269.46
  6. Step 6: Final answer
    x = 2,829.74

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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.