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Finding the Fourth Proportional to 6,283.80, 9,425.70 and 5,131.80

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Solution

The fourth proportional to 6,283.80, 9,425.70 and 5,131.80 is: 7,697.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.80 : 9,425.70 = 5,131.80 : x
  2. Step 2: Convert to fraction form
    6,283.80/9,425.70 = 5,131.80/x
  3. Step 3: Cross multiply
    6,283.80x = 9,425.70 × 5,131.80
  4. Step 4: Simplify right side
    6,283.80x = 48,370,807.26
  5. Step 5: Solve for x
    x = 48,370,807.26/6,283.80
  6. Step 6: Final answer
    x = 7,697.70

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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.