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Finding the Fourth Proportional to 11,746.48, 16,212.73 and 9,189.17

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Solution

The fourth proportional to 11,746.48, 16,212.73 and 9,189.17 is: 12,683.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,746.48 : 16,212.73 = 9,189.17 : x
  2. Step 2: Convert to fraction form
    11,746.48/16,212.73 = 9,189.17/x
  3. Step 3: Cross multiply
    11,746.48x = 16,212.73 × 9,189.17
  4. Step 4: Simplify right side
    11,746.48x = 148,981,532.13
  5. Step 5: Solve for x
    x = 148,981,532.13/11,746.48
  6. Step 6: Final answer
    x = 12,683.08

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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.