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Finding the Fourth Proportional to 9,060.66, 13,611.65 and 6,434.64

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Solution

The fourth proportional to 9,060.66, 13,611.65 and 6,434.64 is: 9,666.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,060.66 : 13,611.65 = 6,434.64 : x
  2. Step 2: Convert to fraction form
    9,060.66/13,611.65 = 6,434.64/x
  3. Step 3: Cross multiply
    9,060.66x = 13,611.65 × 6,434.64
  4. Step 4: Simplify right side
    9,060.66x = 87,586,035.38
  5. Step 5: Solve for x
    x = 87,586,035.38/9,060.66
  6. Step 6: Final answer
    x = 9,666.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.