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Finding the Fourth Proportional to 9,064.32, 12,521.39 and 8,591.40

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Solution

The fourth proportional to 9,064.32, 12,521.39 and 8,591.40 is: 11,868.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,064.32 : 12,521.39 = 8,591.40 : x
  2. Step 2: Convert to fraction form
    9,064.32/12,521.39 = 8,591.40/x
  3. Step 3: Cross multiply
    9,064.32x = 12,521.39 × 8,591.40
  4. Step 4: Simplify right side
    9,064.32x = 107,576,227.09
  5. Step 5: Solve for x
    x = 107,576,227.09/9,064.32
  6. Step 6: Final answer
    x = 11,868.10

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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.