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Finding the Fourth Proportional to 6,268.48, 9,412.80 and 5,300.80

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Solution

The fourth proportional to 6,268.48, 9,412.80 and 5,300.80 is: 7,959.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,268.48 : 9,412.80 = 5,300.80 : x
  2. Step 2: Convert to fraction form
    6,268.48/9,412.80 = 5,300.80/x
  3. Step 3: Cross multiply
    6,268.48x = 9,412.80 × 5,300.80
  4. Step 4: Simplify right side
    6,268.48x = 49,895,370.24
  5. Step 5: Solve for x
    x = 49,895,370.24/6,268.48
  6. Step 6: Final answer
    x = 7,959.72

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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.