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Finding the Fourth Proportional to 9,232.56, 12,742.40 and 5,871.87

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Solution

The fourth proportional to 9,232.56, 12,742.40 and 5,871.87 is: 8,104.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.56 : 12,742.40 = 5,871.87 : x
  2. Step 2: Convert to fraction form
    9,232.56/12,742.40 = 5,871.87/x
  3. Step 3: Cross multiply
    9,232.56x = 12,742.40 × 5,871.87
  4. Step 4: Simplify right side
    9,232.56x = 74,821,686.93
  5. Step 5: Solve for x
    x = 74,821,686.93/9,232.56
  6. Step 6: Final answer
    x = 8,104.11

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1.5x scale

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.