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Finding the Fourth Proportional to 6,438.39, 9,658.35 and 2,277.54

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Solution

The fourth proportional to 6,438.39, 9,658.35 and 2,277.54 is: 3,416.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.39 : 9,658.35 = 2,277.54 : x
  2. Step 2: Convert to fraction form
    6,438.39/9,658.35 = 2,277.54/x
  3. Step 3: Cross multiply
    6,438.39x = 9,658.35 × 2,277.54
  4. Step 4: Simplify right side
    6,438.39x = 21,997,278.46
  5. Step 5: Solve for x
    x = 21,997,278.46/6,438.39
  6. Step 6: Final answer
    x = 3,416.58

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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.