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Finding the Fourth Proportional to 6,319.15, 9,464.37 and 3,848.53

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Solution

The fourth proportional to 6,319.15, 9,464.37 and 3,848.53 is: 5,764.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,319.15 : 9,464.37 = 3,848.53 : x
  2. Step 2: Convert to fraction form
    6,319.15/9,464.37 = 3,848.53/x
  3. Step 3: Cross multiply
    6,319.15x = 9,464.37 × 3,848.53
  4. Step 4: Simplify right side
    6,319.15x = 36,423,911.88
  5. Step 5: Solve for x
    x = 36,423,911.88/6,319.15
  6. Step 6: Final answer
    x = 5,764.05

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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.