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Finding the Fourth Proportional to 9,312.86, 13,951.70 and 7,222.62

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Solution

The fourth proportional to 9,312.86, 13,951.70 and 7,222.62 is: 10,820.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.86 : 13,951.70 = 7,222.62 : x
  2. Step 2: Convert to fraction form
    9,312.86/13,951.70 = 7,222.62/x
  3. Step 3: Cross multiply
    9,312.86x = 13,951.70 × 7,222.62
  4. Step 4: Simplify right side
    9,312.86x = 100,767,791.34
  5. Step 5: Solve for x
    x = 100,767,791.34/9,312.86
  6. Step 6: Final answer
    x = 10,820.29

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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.