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Finding the Fourth Proportional to 12,974.09, 17,886.35 and 9,785.93

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Solution

The fourth proportional to 12,974.09, 17,886.35 and 9,785.93 is: 13,491.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,974.09 : 17,886.35 = 9,785.93 : x
  2. Step 2: Convert to fraction form
    12,974.09/17,886.35 = 9,785.93/x
  3. Step 3: Cross multiply
    12,974.09x = 17,886.35 × 9,785.93
  4. Step 4: Simplify right side
    12,974.09x = 175,034,504.09
  5. Step 5: Solve for x
    x = 175,034,504.09/12,974.09
  6. Step 6: Final answer
    x = 13,491.09

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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.