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Finding the Fourth Proportional to 9,589.86, 14,388.89 and 5,210.46

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Solution

The fourth proportional to 9,589.86, 14,388.89 and 5,210.46 is: 7,817.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.86 : 14,388.89 = 5,210.46 : x
  2. Step 2: Convert to fraction form
    9,589.86/14,388.89 = 5,210.46/x
  3. Step 3: Cross multiply
    9,589.86x = 14,388.89 × 5,210.46
  4. Step 4: Simplify right side
    9,589.86x = 74,972,709.74
  5. Step 5: Solve for x
    x = 74,972,709.74/9,589.86
  6. Step 6: Final answer
    x = 7,817.91

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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.