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Finding the Fourth Proportional to 9,937.31, 13,713.73 and 5,461.17

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Solution

The fourth proportional to 9,937.31, 13,713.73 and 5,461.17 is: 7,536.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.31 : 13,713.73 = 5,461.17 : x
  2. Step 2: Convert to fraction form
    9,937.31/13,713.73 = 5,461.17/x
  3. Step 3: Cross multiply
    9,937.31x = 13,713.73 × 5,461.17
  4. Step 4: Simplify right side
    9,937.31x = 74,893,038.28
  5. Step 5: Solve for x
    x = 74,893,038.28/9,937.31
  6. Step 6: Final answer
    x = 7,536.55

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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.