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Finding the Fourth Proportional to 6,316.40, 9,485.40 and 4,134.80

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Solution

The fourth proportional to 6,316.40, 9,485.40 and 4,134.80 is: 6,209.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.40 : 9,485.40 = 4,134.80 : x
  2. Step 2: Convert to fraction form
    6,316.40/9,485.40 = 4,134.80/x
  3. Step 3: Cross multiply
    6,316.40x = 9,485.40 × 4,134.80
  4. Step 4: Simplify right side
    6,316.40x = 39,220,231.92
  5. Step 5: Solve for x
    x = 39,220,231.92/6,316.40
  6. Step 6: Final answer
    x = 6,209.27

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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.