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Finding the Fourth Proportional to 9,411.36, 12,986.21 and 5,431.73

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Solution

The fourth proportional to 9,411.36, 12,986.21 and 5,431.73 is: 7,494.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.36 : 12,986.21 = 5,431.73 : x
  2. Step 2: Convert to fraction form
    9,411.36/12,986.21 = 5,431.73/x
  3. Step 3: Cross multiply
    9,411.36x = 12,986.21 × 5,431.73
  4. Step 4: Simplify right side
    9,411.36x = 70,537,494.35
  5. Step 5: Solve for x
    x = 70,537,494.35/9,411.36
  6. Step 6: Final answer
    x = 7,494.93

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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.