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Finding the Fourth Proportional to 6,477.58, 9,715.73 and 2,317.42

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Solution

The fourth proportional to 6,477.58, 9,715.73 and 2,317.42 is: 3,475.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.58 : 9,715.73 = 2,317.42 : x
  2. Step 2: Convert to fraction form
    6,477.58/9,715.73 = 2,317.42/x
  3. Step 3: Cross multiply
    6,477.58x = 9,715.73 × 2,317.42
  4. Step 4: Simplify right side
    6,477.58x = 22,515,391.14
  5. Step 5: Solve for x
    x = 22,515,391.14/6,477.58
  6. Step 6: Final answer
    x = 3,475.90

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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.