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Finding the Fourth Proportional to 9,971.10, 14,940.45 and 6,266.70

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Solution

The fourth proportional to 9,971.10, 14,940.45 and 6,266.70 is: 9,389.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.10 : 14,940.45 = 6,266.70 : x
  2. Step 2: Convert to fraction form
    9,971.10/14,940.45 = 6,266.70/x
  3. Step 3: Cross multiply
    9,971.10x = 14,940.45 × 6,266.70
  4. Step 4: Simplify right side
    9,971.10x = 93,627,318.02
  5. Step 5: Solve for x
    x = 93,627,318.02/9,971.10
  6. Step 6: Final answer
    x = 9,389.87

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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.