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Finding the Fourth Proportional to 6,969.76, 10,456.56 and 6,205.60

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Solution

The fourth proportional to 6,969.76, 10,456.56 and 6,205.60 is: 9,310.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.76 : 10,456.56 = 6,205.60 : x
  2. Step 2: Convert to fraction form
    6,969.76/10,456.56 = 6,205.60/x
  3. Step 3: Cross multiply
    6,969.76x = 10,456.56 × 6,205.60
  4. Step 4: Simplify right side
    6,969.76x = 64,889,228.74
  5. Step 5: Solve for x
    x = 64,889,228.74/6,969.76
  6. Step 6: Final answer
    x = 9,310.11

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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.