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Finding the Fourth Proportional to 6,285.70, 9,428.55 and 4,212.10

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Solution

The fourth proportional to 6,285.70, 9,428.55 and 4,212.10 is: 6,318.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.70 : 9,428.55 = 4,212.10 : x
  2. Step 2: Convert to fraction form
    6,285.70/9,428.55 = 4,212.10/x
  3. Step 3: Cross multiply
    6,285.70x = 9,428.55 × 4,212.10
  4. Step 4: Simplify right side
    6,285.70x = 39,713,995.46
  5. Step 5: Solve for x
    x = 39,713,995.46/6,285.70
  6. Step 6: Final answer
    x = 6,318.15

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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.