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Finding the Fourth Proportional to 6,302.78, 9,447.48 and 3,011.36

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Solution

The fourth proportional to 6,302.78, 9,447.48 and 3,011.36 is: 4,513.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.78 : 9,447.48 = 3,011.36 : x
  2. Step 2: Convert to fraction form
    6,302.78/9,447.48 = 3,011.36/x
  3. Step 3: Cross multiply
    6,302.78x = 9,447.48 × 3,011.36
  4. Step 4: Simplify right side
    6,302.78x = 28,449,763.37
  5. Step 5: Solve for x
    x = 28,449,763.37/6,302.78
  6. Step 6: Final answer
    x = 4,513.84

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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.