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Finding the Fourth Proportional to 9,059.34, 13,589.47 and 3,216.41

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Solution

The fourth proportional to 9,059.34, 13,589.47 and 3,216.41 is: 4,824.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,059.34 : 13,589.47 = 3,216.41 : x
  2. Step 2: Convert to fraction form
    9,059.34/13,589.47 = 3,216.41/x
  3. Step 3: Cross multiply
    9,059.34x = 13,589.47 × 3,216.41
  4. Step 4: Simplify right side
    9,059.34x = 43,709,294.24
  5. Step 5: Solve for x
    x = 43,709,294.24/9,059.34
  6. Step 6: Final answer
    x = 4,824.77

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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.