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Finding the Fourth Proportional to 9,434.22, 13,035.65 and 7,754.36

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Solution

The fourth proportional to 9,434.22, 13,035.65 and 7,754.36 is: 10,714.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,434.22 : 13,035.65 = 7,754.36 : x
  2. Step 2: Convert to fraction form
    9,434.22/13,035.65 = 7,754.36/x
  3. Step 3: Cross multiply
    9,434.22x = 13,035.65 × 7,754.36
  4. Step 4: Simplify right side
    9,434.22x = 101,083,018.98
  5. Step 5: Solve for x
    x = 101,083,018.98/9,434.22
  6. Step 6: Final answer
    x = 10,714.51

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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.