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Finding the Fourth Proportional to 9,370.14, 12,904.62 and 7,783.76

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Solution

The fourth proportional to 9,370.14, 12,904.62 and 7,783.76 is: 10,719.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,370.14 : 12,904.62 = 7,783.76 : x
  2. Step 2: Convert to fraction form
    9,370.14/12,904.62 = 7,783.76/x
  3. Step 3: Cross multiply
    9,370.14x = 12,904.62 × 7,783.76
  4. Step 4: Simplify right side
    9,370.14x = 100,446,464.97
  5. Step 5: Solve for x
    x = 100,446,464.97/9,370.14
  6. Step 6: Final answer
    x = 10,719.85

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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.