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Finding the Fourth Proportional to 7,169, 9,893.22 and 4,025.19

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Solution

The fourth proportional to 7,169, 9,893.22 and 4,025.19 is: 5,554.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,169 : 9,893.22 = 4,025.19 : x
  2. Step 2: Convert to fraction form
    7,169/9,893.22 = 4,025.19/x
  3. Step 3: Cross multiply
    7,169x = 9,893.22 × 4,025.19
  4. Step 4: Simplify right side
    7,169x = 39,822,090.21
  5. Step 5: Solve for x
    x = 39,822,090.21/7,169
  6. Step 6: Final answer
    x = 5,554.76

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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.