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Finding the Fourth Proportional to 9,937.43, 13,713.89 and 5,461.28

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Solution

The fourth proportional to 9,937.43, 13,713.89 and 5,461.28 is: 7,536.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.43 : 13,713.89 = 5,461.28 : x
  2. Step 2: Convert to fraction form
    9,937.43/13,713.89 = 5,461.28/x
  3. Step 3: Cross multiply
    9,937.43x = 13,713.89 × 5,461.28
  4. Step 4: Simplify right side
    9,937.43x = 74,895,297.30
  5. Step 5: Solve for x
    x = 74,895,297.30/9,937.43
  6. Step 6: Final answer
    x = 7,536.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.