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Finding the Fourth Proportional to 6,311.58, 9,464.67 and 2,801.58

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Solution

The fourth proportional to 6,311.58, 9,464.67 and 2,801.58 is: 4,201.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.58 : 9,464.67 = 2,801.58 : x
  2. Step 2: Convert to fraction form
    6,311.58/9,464.67 = 2,801.58/x
  3. Step 3: Cross multiply
    6,311.58x = 9,464.67 × 2,801.58
  4. Step 4: Simplify right side
    6,311.58x = 26,516,030.18
  5. Step 5: Solve for x
    x = 26,516,030.18/6,311.58
  6. Step 6: Final answer
    x = 4,201.17

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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.