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Finding the Fourth Proportional to 6,477.25, 9,715.46 and 2,317.06

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Solution

The fourth proportional to 6,477.25, 9,715.46 and 2,317.06 is: 3,475.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.25 : 9,715.46 = 2,317.06 : x
  2. Step 2: Convert to fraction form
    6,477.25/9,715.46 = 2,317.06/x
  3. Step 3: Cross multiply
    6,477.25x = 9,715.46 × 2,317.06
  4. Step 4: Simplify right side
    6,477.25x = 22,511,262.69
  5. Step 5: Solve for x
    x = 22,511,262.69/6,477.25
  6. Step 6: Final answer
    x = 3,475.44

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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.