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Finding the Fourth Proportional to 9,796.32, 13,518 and 7,937.76

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Solution

The fourth proportional to 9,796.32, 13,518 and 7,937.76 is: 10,953.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.32 : 13,518 = 7,937.76 : x
  2. Step 2: Convert to fraction form
    9,796.32/13,518 = 7,937.76/x
  3. Step 3: Cross multiply
    9,796.32x = 13,518 × 7,937.76
  4. Step 4: Simplify right side
    9,796.32x = 107,302,639.68
  5. Step 5: Solve for x
    x = 107,302,639.68/9,796.32
  6. Step 6: Final answer
    x = 10,953.36

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Why These Related Problems?

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