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Finding the Fourth Proportional to 8,734.44, 12,053.72 and 6,848.28

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Solution

The fourth proportional to 8,734.44, 12,053.72 and 6,848.28 is: 9,450.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,734.44 : 12,053.72 = 6,848.28 : x
  2. Step 2: Convert to fraction form
    8,734.44/12,053.72 = 6,848.28/x
  3. Step 3: Cross multiply
    8,734.44x = 12,053.72 × 6,848.28
  4. Step 4: Simplify right side
    8,734.44x = 82,547,249.60
  5. Step 5: Solve for x
    x = 82,547,249.60/8,734.44
  6. Step 6: Final answer
    x = 9,450.78

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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.