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Finding the Fourth Proportional to 9,200.56, 12,697 and 5,009.04

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Solution

The fourth proportional to 9,200.56, 12,697 and 5,009.04 is: 6,912.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.56 : 12,697 = 5,009.04 : x
  2. Step 2: Convert to fraction form
    9,200.56/12,697 = 5,009.04/x
  3. Step 3: Cross multiply
    9,200.56x = 12,697 × 5,009.04
  4. Step 4: Simplify right side
    9,200.56x = 63,599,780.88
  5. Step 5: Solve for x
    x = 63,599,780.88/9,200.56
  6. Step 6: Final answer
    x = 6,912.60

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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.