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Finding the Fourth Proportional to 7,174.29, 9,897.83 and 5,290.37

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Solution

The fourth proportional to 7,174.29, 9,897.83 and 5,290.37 is: 7,298.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.29 : 9,897.83 = 5,290.37 : x
  2. Step 2: Convert to fraction form
    7,174.29/9,897.83 = 5,290.37/x
  3. Step 3: Cross multiply
    7,174.29x = 9,897.83 × 5,290.37
  4. Step 4: Simplify right side
    7,174.29x = 52,363,181.19
  5. Step 5: Solve for x
    x = 52,363,181.19/7,174.29
  6. Step 6: Final answer
    x = 7,298.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.