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Finding the Fourth Proportional to 9,590.08, 13,233.72 and 5,398

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Solution

The fourth proportional to 9,590.08, 13,233.72 and 5,398 is: 7,448.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.08 : 13,233.72 = 5,398 : x
  2. Step 2: Convert to fraction form
    9,590.08/13,233.72 = 5,398/x
  3. Step 3: Cross multiply
    9,590.08x = 13,233.72 × 5,398
  4. Step 4: Simplify right side
    9,590.08x = 71,435,620.56
  5. Step 5: Solve for x
    x = 71,435,620.56/9,590.08
  6. Step 6: Final answer
    x = 7,448.91

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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.