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Finding the Fourth Proportional to 6,317.30, 9,475.95 and 3,396.98

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Solution

The fourth proportional to 6,317.30, 9,475.95 and 3,396.98 is: 5,095.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.30 : 9,475.95 = 3,396.98 : x
  2. Step 2: Convert to fraction form
    6,317.30/9,475.95 = 3,396.98/x
  3. Step 3: Cross multiply
    6,317.30x = 9,475.95 × 3,396.98
  4. Step 4: Simplify right side
    6,317.30x = 32,189,612.63
  5. Step 5: Solve for x
    x = 32,189,612.63/6,317.30
  6. Step 6: Final answer
    x = 5,095.47

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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.