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Finding the Fourth Proportional to 9,778.65, 14,640.02 and 9,157.94

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Solution

The fourth proportional to 9,778.65, 14,640.02 and 9,157.94 is: 13,710.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.65 : 14,640.02 = 9,157.94 : x
  2. Step 2: Convert to fraction form
    9,778.65/14,640.02 = 9,157.94/x
  3. Step 3: Cross multiply
    9,778.65x = 14,640.02 × 9,157.94
  4. Step 4: Simplify right side
    9,778.65x = 134,072,351.56
  5. Step 5: Solve for x
    x = 134,072,351.56/9,778.65
  6. Step 6: Final answer
    x = 13,710.72

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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.