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Finding the Fourth Proportional to 9,590.40, 13,234.50 and 5,398.56

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Solution

The fourth proportional to 9,590.40, 13,234.50 and 5,398.56 is: 7,449.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.40 : 13,234.50 = 5,398.56 : x
  2. Step 2: Convert to fraction form
    9,590.40/13,234.50 = 5,398.56/x
  3. Step 3: Cross multiply
    9,590.40x = 13,234.50 × 5,398.56
  4. Step 4: Simplify right side
    9,590.40x = 71,447,242.32
  5. Step 5: Solve for x
    x = 71,447,242.32/9,590.40
  6. Step 6: Final answer
    x = 7,449.87

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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.