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Finding the Fourth Proportional to 9,962.70, 14,922.45 and 8,234.70

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Solution

The fourth proportional to 9,962.70, 14,922.45 and 8,234.70 is: 12,334.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,962.70 : 14,922.45 = 8,234.70 : x
  2. Step 2: Convert to fraction form
    9,962.70/14,922.45 = 8,234.70/x
  3. Step 3: Cross multiply
    9,962.70x = 14,922.45 × 8,234.70
  4. Step 4: Simplify right side
    9,962.70x = 122,881,899.02
  5. Step 5: Solve for x
    x = 122,881,899.02/9,962.70
  6. Step 6: Final answer
    x = 12,334.20

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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.