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Finding the Fourth Proportional to 9,673.56, 13,340.22 and 6,130.44

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Solution

The fourth proportional to 9,673.56, 13,340.22 and 6,130.44 is: 8,454.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.56 : 13,340.22 = 6,130.44 : x
  2. Step 2: Convert to fraction form
    9,673.56/13,340.22 = 6,130.44/x
  3. Step 3: Cross multiply
    9,673.56x = 13,340.22 × 6,130.44
  4. Step 4: Simplify right side
    9,673.56x = 81,781,418.30
  5. Step 5: Solve for x
    x = 81,781,418.30/9,673.56
  6. Step 6: Final answer
    x = 8,454.12

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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.