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Finding the Fourth Proportional to 6,438.34, 9,658.86 and 2,056.24

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Solution

The fourth proportional to 6,438.34, 9,658.86 and 2,056.24 is: 3,084.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.34 : 9,658.86 = 2,056.24 : x
  2. Step 2: Convert to fraction form
    6,438.34/9,658.86 = 2,056.24/x
  3. Step 3: Cross multiply
    6,438.34x = 9,658.86 × 2,056.24
  4. Step 4: Simplify right side
    6,438.34x = 19,860,934.29
  5. Step 5: Solve for x
    x = 19,860,934.29/6,438.34
  6. Step 6: Final answer
    x = 3,084.79

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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.