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Finding the Fourth Proportional to 6,429.02, 8,869.23 and 4,069.69

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Solution

The fourth proportional to 6,429.02, 8,869.23 and 4,069.69 is: 5,614.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.02 : 8,869.23 = 4,069.69 : x
  2. Step 2: Convert to fraction form
    6,429.02/8,869.23 = 4,069.69/x
  3. Step 3: Cross multiply
    6,429.02x = 8,869.23 × 4,069.69
  4. Step 4: Simplify right side
    6,429.02x = 36,094,994.47
  5. Step 5: Solve for x
    x = 36,094,994.47/6,429.02
  6. Step 6: Final answer
    x = 5,614.39

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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.