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Finding the Fourth Proportional to 9,588.78, 13,232.07 and 5,814.18

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Solution

The fourth proportional to 9,588.78, 13,232.07 and 5,814.18 is: 8,023.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.78 : 13,232.07 = 5,814.18 : x
  2. Step 2: Convert to fraction form
    9,588.78/13,232.07 = 5,814.18/x
  3. Step 3: Cross multiply
    9,588.78x = 13,232.07 × 5,814.18
  4. Step 4: Simplify right side
    9,588.78x = 76,933,636.75
  5. Step 5: Solve for x
    x = 76,933,636.75/9,588.78
  6. Step 6: Final answer
    x = 8,023.30

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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.