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Finding the Fourth Proportional to 9,937.31, 13,713.20 and 5,461.06

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Solution

The fourth proportional to 9,937.31, 13,713.20 and 5,461.06 is: 7,536.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.31 : 13,713.20 = 5,461.06 : x
  2. Step 2: Convert to fraction form
    9,937.31/13,713.20 = 5,461.06/x
  3. Step 3: Cross multiply
    9,937.31x = 13,713.20 × 5,461.06
  4. Step 4: Simplify right side
    9,937.31x = 74,888,623.31
  5. Step 5: Solve for x
    x = 74,888,623.31/9,937.31
  6. Step 6: Final answer
    x = 7,536.11

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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.