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Finding the Fourth Proportional to 9,212.81, 12,709.91 and 6,419.93

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Solution

The fourth proportional to 9,212.81, 12,709.91 and 6,419.93 is: 8,856.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.81 : 12,709.91 = 6,419.93 : x
  2. Step 2: Convert to fraction form
    9,212.81/12,709.91 = 6,419.93/x
  3. Step 3: Cross multiply
    9,212.81x = 12,709.91 × 6,419.93
  4. Step 4: Simplify right side
    9,212.81x = 81,596,685.01
  5. Step 5: Solve for x
    x = 81,596,685.01/9,212.81
  6. Step 6: Final answer
    x = 8,856.88

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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.