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Finding the Fourth Proportional to 6,969.96, 10,456.78 and 4,045.46

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Solution

The fourth proportional to 6,969.96, 10,456.78 and 4,045.46 is: 6,069.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.96 : 10,456.78 = 4,045.46 : x
  2. Step 2: Convert to fraction form
    6,969.96/10,456.78 = 4,045.46/x
  3. Step 3: Cross multiply
    6,969.96x = 10,456.78 × 4,045.46
  4. Step 4: Simplify right side
    6,969.96x = 42,302,485.22
  5. Step 5: Solve for x
    x = 42,302,485.22/6,969.96
  6. Step 6: Final answer
    x = 6,069.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.