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Finding the Fourth Proportional to 9,938.34, 14,907.51 and 2,542.82

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Solution

The fourth proportional to 9,938.34, 14,907.51 and 2,542.82 is: 3,814.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.34 : 14,907.51 = 2,542.82 : x
  2. Step 2: Convert to fraction form
    9,938.34/14,907.51 = 2,542.82/x
  3. Step 3: Cross multiply
    9,938.34x = 14,907.51 × 2,542.82
  4. Step 4: Simplify right side
    9,938.34x = 37,907,040.04
  5. Step 5: Solve for x
    x = 37,907,040.04/9,938.34
  6. Step 6: Final answer
    x = 3,814.22

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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.