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Finding the Fourth Proportional to 7,026.44, 9,696.72 and 4,638.51

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Solution

The fourth proportional to 7,026.44, 9,696.72 and 4,638.51 is: 6,401.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026.44 : 9,696.72 = 4,638.51 : x
  2. Step 2: Convert to fraction form
    7,026.44/9,696.72 = 4,638.51/x
  3. Step 3: Cross multiply
    7,026.44x = 9,696.72 × 4,638.51
  4. Step 4: Simplify right side
    7,026.44x = 44,978,332.69
  5. Step 5: Solve for x
    x = 44,978,332.69/7,026.44
  6. Step 6: Final answer
    x = 6,401.30

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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.