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Finding the Fourth Proportional to 9,410.46, 12,985.97 and 5,431.34

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Solution

The fourth proportional to 9,410.46, 12,985.97 and 5,431.34 is: 7,494.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.46 : 12,985.97 = 5,431.34 : x
  2. Step 2: Convert to fraction form
    9,410.46/12,985.97 = 5,431.34/x
  3. Step 3: Cross multiply
    9,410.46x = 12,985.97 × 5,431.34
  4. Step 4: Simplify right side
    9,410.46x = 70,531,126.21
  5. Step 5: Solve for x
    x = 70,531,126.21/9,410.46
  6. Step 6: Final answer
    x = 7,494.97

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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.