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Finding the Fourth Proportional to 9,738.54, 13,435.17 and 7,192.38

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Solution

The fourth proportional to 9,738.54, 13,435.17 and 7,192.38 is: 9,922.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738.54 : 13,435.17 = 7,192.38 : x
  2. Step 2: Convert to fraction form
    9,738.54/13,435.17 = 7,192.38/x
  3. Step 3: Cross multiply
    9,738.54x = 13,435.17 × 7,192.38
  4. Step 4: Simplify right side
    9,738.54x = 96,630,848.00
  5. Step 5: Solve for x
    x = 96,630,848.00/9,738.54
  6. Step 6: Final answer
    x = 9,922.52

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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.