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Finding the Fourth Proportional to 6,589,817.76, 9,891,713.76 and 5,836,549.32

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Solution

The fourth proportional to 6,589,817.76, 9,891,713.76 and 5,836,549.32 is: 8,761,012.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589,817.76 : 9,891,713.76 = 5,836,549.32 : x
  2. Step 2: Convert to fraction form
    6,589,817.76/9,891,713.76 = 5,836,549.32/x
  3. Step 3: Cross multiply
    6,589,817.76x = 9,891,713.76 × 5,836,549.32
  4. Step 4: Simplify right side
    6,589,817.76x = 57,733,475,219,562.65
  5. Step 5: Solve for x
    x = 57,733,475,219,562.65/6,589,817.76
  6. Step 6: Final answer
    x = 8,761,012.42

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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.