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Finding the Fourth Proportional to 6,896.41, 9,511.52 and 4,506.20

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Solution

The fourth proportional to 6,896.41, 9,511.52 and 4,506.20 is: 6,214.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.41 : 9,511.52 = 4,506.20 : x
  2. Step 2: Convert to fraction form
    6,896.41/9,511.52 = 4,506.20/x
  3. Step 3: Cross multiply
    6,896.41x = 9,511.52 × 4,506.20
  4. Step 4: Simplify right side
    6,896.41x = 42,860,741.34
  5. Step 5: Solve for x
    x = 42,860,741.34/6,896.41
  6. Step 6: Final answer
    x = 6,214.94

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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.