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Finding the Fourth Proportional to 6,289.33, 9,419.61 and 3,004.74

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Solution

The fourth proportional to 6,289.33, 9,419.61 and 3,004.74 is: 4,500.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.33 : 9,419.61 = 3,004.74 : x
  2. Step 2: Convert to fraction form
    6,289.33/9,419.61 = 3,004.74/x
  3. Step 3: Cross multiply
    6,289.33x = 9,419.61 × 3,004.74
  4. Step 4: Simplify right side
    6,289.33x = 28,303,478.95
  5. Step 5: Solve for x
    x = 28,303,478.95/6,289.33
  6. Step 6: Final answer
    x = 4,500.24

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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.