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Finding the Fourth Proportional to 9,232.08, 13,837.08 and 5,478.60

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Solution

The fourth proportional to 9,232.08, 13,837.08 and 5,478.60 is: 8,211.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.08 : 13,837.08 = 5,478.60 : x
  2. Step 2: Convert to fraction form
    9,232.08/13,837.08 = 5,478.60/x
  3. Step 3: Cross multiply
    9,232.08x = 13,837.08 × 5,478.60
  4. Step 4: Simplify right side
    9,232.08x = 75,807,826.49
  5. Step 5: Solve for x
    x = 75,807,826.49/9,232.08
  6. Step 6: Final answer
    x = 8,211.35

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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.