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Finding the Fourth Proportional to 11,746.71, 16,199.43 and 9,364.59

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Solution

The fourth proportional to 11,746.71, 16,199.43 and 9,364.59 is: 12,914.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,746.71 : 16,199.43 = 9,364.59 : x
  2. Step 2: Convert to fraction form
    11,746.71/16,199.43 = 9,364.59/x
  3. Step 3: Cross multiply
    11,746.71x = 16,199.43 × 9,364.59
  4. Step 4: Simplify right side
    11,746.71x = 151,701,020.18
  5. Step 5: Solve for x
    x = 151,701,020.18/11,746.71
  6. Step 6: Final answer
    x = 12,914.34

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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.