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Finding the Fourth Proportional to 9,295.92, 12,853.63 and 9,145.71

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Solution

The fourth proportional to 9,295.92, 12,853.63 and 9,145.71 is: 12,645.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.92 : 12,853.63 = 9,145.71 : x
  2. Step 2: Convert to fraction form
    9,295.92/12,853.63 = 9,145.71/x
  3. Step 3: Cross multiply
    9,295.92x = 12,853.63 × 9,145.71
  4. Step 4: Simplify right side
    9,295.92x = 117,555,558.14
  5. Step 5: Solve for x
    x = 117,555,558.14/9,295.92
  6. Step 6: Final answer
    x = 12,645.93

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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.