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Finding the Fourth Proportional to 6,430.60, 9,660.30 and 6,257.80

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Solution

The fourth proportional to 6,430.60, 9,660.30 and 6,257.80 is: 9,400.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.60 : 9,660.30 = 6,257.80 : x
  2. Step 2: Convert to fraction form
    6,430.60/9,660.30 = 6,257.80/x
  3. Step 3: Cross multiply
    6,430.60x = 9,660.30 × 6,257.80
  4. Step 4: Simplify right side
    6,430.60x = 60,452,225.34
  5. Step 5: Solve for x
    x = 60,452,225.34/6,430.60
  6. Step 6: Final answer
    x = 9,400.71

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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.