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Finding the Fourth Proportional to 9,589.86, 14,378.58 and 3,747.06

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Solution

The fourth proportional to 9,589.86, 14,378.58 and 3,747.06 is: 5,618.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.86 : 14,378.58 = 3,747.06 : x
  2. Step 2: Convert to fraction form
    9,589.86/14,378.58 = 3,747.06/x
  3. Step 3: Cross multiply
    9,589.86x = 14,378.58 × 3,747.06
  4. Step 4: Simplify right side
    9,589.86x = 53,877,401.97
  5. Step 5: Solve for x
    x = 53,877,401.97/9,589.86
  6. Step 6: Final answer
    x = 5,618.16

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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.