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Finding the Fourth Proportional to 6,430.14, 9,628.80 and 6,273.40

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Solution

The fourth proportional to 6,430.14, 9,628.80 and 6,273.40 is: 9,394.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.14 : 9,628.80 = 6,273.40 : x
  2. Step 2: Convert to fraction form
    6,430.14/9,628.80 = 6,273.40/x
  3. Step 3: Cross multiply
    6,430.14x = 9,628.80 × 6,273.40
  4. Step 4: Simplify right side
    6,430.14x = 60,405,313.92
  5. Step 5: Solve for x
    x = 60,405,313.92/6,430.14
  6. Step 6: Final answer
    x = 9,394.09

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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.