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Finding the Fourth Proportional to 9,678.94, 14,518.38 and 6,391.25

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Solution

The fourth proportional to 9,678.94, 14,518.38 and 6,391.25 is: 9,586.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.94 : 14,518.38 = 6,391.25 : x
  2. Step 2: Convert to fraction form
    9,678.94/14,518.38 = 6,391.25/x
  3. Step 3: Cross multiply
    9,678.94x = 14,518.38 × 6,391.25
  4. Step 4: Simplify right side
    9,678.94x = 92,790,596.18
  5. Step 5: Solve for x
    x = 92,790,596.18/9,678.94
  6. Step 6: Final answer
    x = 9,586.86

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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.