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Finding the Fourth Proportional to 9,580.16, 13,222.40 and 5,388.40

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Solution

The fourth proportional to 9,580.16, 13,222.40 and 5,388.40 is: 7,436.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.16 : 13,222.40 = 5,388.40 : x
  2. Step 2: Convert to fraction form
    9,580.16/13,222.40 = 5,388.40/x
  3. Step 3: Cross multiply
    9,580.16x = 13,222.40 × 5,388.40
  4. Step 4: Simplify right side
    9,580.16x = 71,247,580.16
  5. Step 5: Solve for x
    x = 71,247,580.16/9,580.16
  6. Step 6: Final answer
    x = 7,436.99

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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.