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Finding the Fourth Proportional to 9,590.68, 14,398.44 and 7,524.12

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Solution

The fourth proportional to 9,590.68, 14,398.44 and 7,524.12 is: 11,295.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.68 : 14,398.44 = 7,524.12 : x
  2. Step 2: Convert to fraction form
    9,590.68/14,398.44 = 7,524.12/x
  3. Step 3: Cross multiply
    9,590.68x = 14,398.44 × 7,524.12
  4. Step 4: Simplify right side
    9,590.68x = 108,335,590.37
  5. Step 5: Solve for x
    x = 108,335,590.37/9,590.68
  6. Step 6: Final answer
    x = 11,295.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.