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Finding the Fourth Proportional to 6,044.32, 9,072 and 4,196.32

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Solution

The fourth proportional to 6,044.32, 9,072 and 4,196.32 is: 6,298.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,044.32 : 9,072 = 4,196.32 : x
  2. Step 2: Convert to fraction form
    6,044.32/9,072 = 4,196.32/x
  3. Step 3: Cross multiply
    6,044.32x = 9,072 × 4,196.32
  4. Step 4: Simplify right side
    6,044.32x = 38,069,015.04
  5. Step 5: Solve for x
    x = 38,069,015.04/6,044.32
  6. Step 6: Final answer
    x = 6,298.31

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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.