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Finding the Fourth Proportional to 9,589.74, 13,234.62 and 5,341.20

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Solution

The fourth proportional to 9,589.74, 13,234.62 and 5,341.20 is: 7,371.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.74 : 13,234.62 = 5,341.20 : x
  2. Step 2: Convert to fraction form
    9,589.74/13,234.62 = 5,341.20/x
  3. Step 3: Cross multiply
    9,589.74x = 13,234.62 × 5,341.20
  4. Step 4: Simplify right side
    9,589.74x = 70,688,752.34
  5. Step 5: Solve for x
    x = 70,688,752.34/9,589.74
  6. Step 6: Final answer
    x = 7,371.29

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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.