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Finding the Fourth Proportional to 6,214.80, 9,308.88 and 3,875.52

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Solution

The fourth proportional to 6,214.80, 9,308.88 and 3,875.52 is: 5,804.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.80 : 9,308.88 = 3,875.52 : x
  2. Step 2: Convert to fraction form
    6,214.80/9,308.88 = 3,875.52/x
  3. Step 3: Cross multiply
    6,214.80x = 9,308.88 × 3,875.52
  4. Step 4: Simplify right side
    6,214.80x = 36,076,750.62
  5. Step 5: Solve for x
    x = 36,076,750.62/6,214.80
  6. Step 6: Final answer
    x = 5,804.97

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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.