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Finding the Fourth Proportional to 9,466.70, 14,200.05 and 2,541.20

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Solution

The fourth proportional to 9,466.70, 14,200.05 and 2,541.20 is: 3,811.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466.70 : 14,200.05 = 2,541.20 : x
  2. Step 2: Convert to fraction form
    9,466.70/14,200.05 = 2,541.20/x
  3. Step 3: Cross multiply
    9,466.70x = 14,200.05 × 2,541.20
  4. Step 4: Simplify right side
    9,466.70x = 36,085,096.06
  5. Step 5: Solve for x
    x = 36,085,096.06/9,466.70
  6. Step 6: Final answer
    x = 3,811.79

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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.