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Finding the Fourth Proportional to 7,059.10, 9,721.86 and 6,906.02

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Solution

The fourth proportional to 7,059.10, 9,721.86 and 6,906.02 is: 9,511.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,059.10 : 9,721.86 = 6,906.02 : x
  2. Step 2: Convert to fraction form
    7,059.10/9,721.86 = 6,906.02/x
  3. Step 3: Cross multiply
    7,059.10x = 9,721.86 × 6,906.02
  4. Step 4: Simplify right side
    7,059.10x = 67,139,359.60
  5. Step 5: Solve for x
    x = 67,139,359.60/7,059.10
  6. Step 6: Final answer
    x = 9,511.04

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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.