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Finding the Fourth Proportional to 6,415.10, 9,622.65 and 2,959.10

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Solution

The fourth proportional to 6,415.10, 9,622.65 and 2,959.10 is: 4,438.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.10 : 9,622.65 = 2,959.10 : x
  2. Step 2: Convert to fraction form
    6,415.10/9,622.65 = 2,959.10/x
  3. Step 3: Cross multiply
    6,415.10x = 9,622.65 × 2,959.10
  4. Step 4: Simplify right side
    6,415.10x = 28,474,383.62
  5. Step 5: Solve for x
    x = 28,474,383.62/6,415.10
  6. Step 6: Final answer
    x = 4,438.65

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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.