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Finding the Fourth Proportional to 6,386.09, 9,580.73 and 5,074.80

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Solution

The fourth proportional to 6,386.09, 9,580.73 and 5,074.80 is: 7,613.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,386.09 : 9,580.73 = 5,074.80 : x
  2. Step 2: Convert to fraction form
    6,386.09/9,580.73 = 5,074.80/x
  3. Step 3: Cross multiply
    6,386.09x = 9,580.73 × 5,074.80
  4. Step 4: Simplify right side
    6,386.09x = 48,620,309.74
  5. Step 5: Solve for x
    x = 48,620,309.74/6,386.09
  6. Step 6: Final answer
    x = 7,613.47

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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.