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Finding the Fourth Proportional to 7,026.41, 9,676.70 and 6,873.32

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Solution

The fourth proportional to 7,026.41, 9,676.70 and 6,873.32 is: 9,465.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026.41 : 9,676.70 = 6,873.32 : x
  2. Step 2: Convert to fraction form
    7,026.41/9,676.70 = 6,873.32/x
  3. Step 3: Cross multiply
    7,026.41x = 9,676.70 × 6,873.32
  4. Step 4: Simplify right side
    7,026.41x = 66,511,071.24
  5. Step 5: Solve for x
    x = 66,511,071.24/7,026.41
  6. Step 6: Final answer
    x = 9,465.86

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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.