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Finding the Fourth Proportional to 9,478.56, 13,069.44 and 7,793.76

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Solution

The fourth proportional to 9,478.56, 13,069.44 and 7,793.76 is: 10,746.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.56 : 13,069.44 = 7,793.76 : x
  2. Step 2: Convert to fraction form
    9,478.56/13,069.44 = 7,793.76/x
  3. Step 3: Cross multiply
    9,478.56x = 13,069.44 × 7,793.76
  4. Step 4: Simplify right side
    9,478.56x = 101,860,078.69
  5. Step 5: Solve for x
    x = 101,860,078.69/9,478.56
  6. Step 6: Final answer
    x = 10,746.37

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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.