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Finding the Fourth Proportional to 6,428.30, 9,640.56 and 2,730.50

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Solution

The fourth proportional to 6,428.30, 9,640.56 and 2,730.50 is: 4,094.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.30 : 9,640.56 = 2,730.50 : x
  2. Step 2: Convert to fraction form
    6,428.30/9,640.56 = 2,730.50/x
  3. Step 3: Cross multiply
    6,428.30x = 9,640.56 × 2,730.50
  4. Step 4: Simplify right side
    6,428.30x = 26,323,549.08
  5. Step 5: Solve for x
    x = 26,323,549.08/6,428.30
  6. Step 6: Final answer
    x = 4,094.95

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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.