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Finding the Fourth Proportional to 6,178.78, 9,263.31 and 3,056.59

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Solution

The fourth proportional to 6,178.78, 9,263.31 and 3,056.59 is: 4,582.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.78 : 9,263.31 = 3,056.59 : x
  2. Step 2: Convert to fraction form
    6,178.78/9,263.31 = 3,056.59/x
  3. Step 3: Cross multiply
    6,178.78x = 9,263.31 × 3,056.59
  4. Step 4: Simplify right side
    6,178.78x = 28,314,140.71
  5. Step 5: Solve for x
    x = 28,314,140.71/6,178.78
  6. Step 6: Final answer
    x = 4,582.48

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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.