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Finding the Fourth Proportional to 9,784.07, 13,509.41 and 6,012.44

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Solution

The fourth proportional to 9,784.07, 13,509.41 and 6,012.44 is: 8,301.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.07 : 13,509.41 = 6,012.44 : x
  2. Step 2: Convert to fraction form
    9,784.07/13,509.41 = 6,012.44/x
  3. Step 3: Cross multiply
    9,784.07x = 13,509.41 × 6,012.44
  4. Step 4: Simplify right side
    9,784.07x = 81,224,517.06
  5. Step 5: Solve for x
    x = 81,224,517.06/9,784.07
  6. Step 6: Final answer
    x = 8,301.71

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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.