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Finding the Fourth Proportional to 9,938.75, 14,908.06 and 2,543.19

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Solution

The fourth proportional to 9,938.75, 14,908.06 and 2,543.19 is: 3,814.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.75 : 14,908.06 = 2,543.19 : x
  2. Step 2: Convert to fraction form
    9,938.75/14,908.06 = 2,543.19/x
  3. Step 3: Cross multiply
    9,938.75x = 14,908.06 × 2,543.19
  4. Step 4: Simplify right side
    9,938.75x = 37,914,029.11
  5. Step 5: Solve for x
    x = 37,914,029.11/9,938.75
  6. Step 6: Final answer
    x = 3,814.77

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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.