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Finding the Fourth Proportional to 9,580.50, 13,221.90 and 5,389.56

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Solution

The fourth proportional to 9,580.50, 13,221.90 and 5,389.56 is: 7,438.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.50 : 13,221.90 = 5,389.56 : x
  2. Step 2: Convert to fraction form
    9,580.50/13,221.90 = 5,389.56/x
  3. Step 3: Cross multiply
    9,580.50x = 13,221.90 × 5,389.56
  4. Step 4: Simplify right side
    9,580.50x = 71,260,223.36
  5. Step 5: Solve for x
    x = 71,260,223.36/9,580.50
  6. Step 6: Final answer
    x = 7,438.05

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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.