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Finding the Fourth Proportional to 9,245.47, 13,868.22 and 4,318.57

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Solution

The fourth proportional to 9,245.47, 13,868.22 and 4,318.57 is: 6,477.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,245.47 : 13,868.22 = 4,318.57 : x
  2. Step 2: Convert to fraction form
    9,245.47/13,868.22 = 4,318.57/x
  3. Step 3: Cross multiply
    9,245.47x = 13,868.22 × 4,318.57
  4. Step 4: Simplify right side
    9,245.47x = 59,890,878.85
  5. Step 5: Solve for x
    x = 59,890,878.85/9,245.47
  6. Step 6: Final answer
    x = 6,477.86

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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.