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Finding the Fourth Proportional to 9,738.18, 14,609.43 and 4,541.22

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Solution

The fourth proportional to 9,738.18, 14,609.43 and 4,541.22 is: 6,812.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738.18 : 14,609.43 = 4,541.22 : x
  2. Step 2: Convert to fraction form
    9,738.18/14,609.43 = 4,541.22/x
  3. Step 3: Cross multiply
    9,738.18x = 14,609.43 × 4,541.22
  4. Step 4: Simplify right side
    9,738.18x = 66,344,635.70
  5. Step 5: Solve for x
    x = 66,344,635.70/9,738.18
  6. Step 6: Final answer
    x = 6,812.84

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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.