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Finding the Fourth Proportional to 9,589.32, 14,360.76 and 7,933.68

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Solution

The fourth proportional to 9,589.32, 14,360.76 and 7,933.68 is: 11,881.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.32 : 14,360.76 = 7,933.68 : x
  2. Step 2: Convert to fraction form
    9,589.32/14,360.76 = 7,933.68/x
  3. Step 3: Cross multiply
    9,589.32x = 14,360.76 × 7,933.68
  4. Step 4: Simplify right side
    9,589.32x = 113,933,674.40
  5. Step 5: Solve for x
    x = 113,933,674.40/9,589.32
  6. Step 6: Final answer
    x = 11,881.31

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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.