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Finding the Fourth Proportional to 9,409.72, 12,983.16 and 5,871.64

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Solution

The fourth proportional to 9,409.72, 12,983.16 and 5,871.64 is: 8,101.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.72 : 12,983.16 = 5,871.64 : x
  2. Step 2: Convert to fraction form
    9,409.72/12,983.16 = 5,871.64/x
  3. Step 3: Cross multiply
    9,409.72x = 12,983.16 × 5,871.64
  4. Step 4: Simplify right side
    9,409.72x = 76,232,441.58
  5. Step 5: Solve for x
    x = 76,232,441.58/9,409.72
  6. Step 6: Final answer
    x = 8,101.46

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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.