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Finding the Fourth Proportional to 9,212.61, 12,705.58 and 7,783.97

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Solution

The fourth proportional to 9,212.61, 12,705.58 and 7,783.97 is: 10,735.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.61 : 12,705.58 = 7,783.97 : x
  2. Step 2: Convert to fraction form
    9,212.61/12,705.58 = 7,783.97/x
  3. Step 3: Cross multiply
    9,212.61x = 12,705.58 × 7,783.97
  4. Step 4: Simplify right side
    9,212.61x = 98,899,865.86
  5. Step 5: Solve for x
    x = 98,899,865.86/9,212.61
  6. Step 6: Final answer
    x = 10,735.27

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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.