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Finding the Fourth Proportional to 10,688.96, 14,735.94 and 9,212.60

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Solution

The fourth proportional to 10,688.96, 14,735.94 and 9,212.60 is: 12,700.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,688.96 : 14,735.94 = 9,212.60 : x
  2. Step 2: Convert to fraction form
    10,688.96/14,735.94 = 9,212.60/x
  3. Step 3: Cross multiply
    10,688.96x = 14,735.94 × 9,212.60
  4. Step 4: Simplify right side
    10,688.96x = 135,756,320.84
  5. Step 5: Solve for x
    x = 135,756,320.84/10,688.96
  6. Step 6: Final answer
    x = 12,700.61

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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.