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Finding the Fourth Proportional to 6,325.12, 9,481.60 and 5,783.77

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Solution

The fourth proportional to 6,325.12, 9,481.60 and 5,783.77 is: 8,670.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,325.12 : 9,481.60 = 5,783.77 : x
  2. Step 2: Convert to fraction form
    6,325.12/9,481.60 = 5,783.77/x
  3. Step 3: Cross multiply
    6,325.12x = 9,481.60 × 5,783.77
  4. Step 4: Simplify right side
    6,325.12x = 54,839,393.63
  5. Step 5: Solve for x
    x = 54,839,393.63/6,325.12
  6. Step 6: Final answer
    x = 8,670.10

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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.