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Finding the Fourth Proportional to 6,564.32, 9,060.64 and 3,733.22

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Solution

The fourth proportional to 6,564.32, 9,060.64 and 3,733.22 is: 5,152.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.32 : 9,060.64 = 3,733.22 : x
  2. Step 2: Convert to fraction form
    6,564.32/9,060.64 = 3,733.22/x
  3. Step 3: Cross multiply
    6,564.32x = 9,060.64 × 3,733.22
  4. Step 4: Simplify right side
    6,564.32x = 33,825,343.79
  5. Step 5: Solve for x
    x = 33,825,343.79/6,564.32
  6. Step 6: Final answer
    x = 5,152.91

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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.