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Finding the Fourth Proportional to 6,980.60, 9,634.41 and 6,749.87

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Solution

The fourth proportional to 6,980.60, 9,634.41 and 6,749.87 is: 9,315.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.60 : 9,634.41 = 6,749.87 : x
  2. Step 2: Convert to fraction form
    6,980.60/9,634.41 = 6,749.87/x
  3. Step 3: Cross multiply
    6,980.60x = 9,634.41 × 6,749.87
  4. Step 4: Simplify right side
    6,980.60x = 65,030,966.85
  5. Step 5: Solve for x
    x = 65,030,966.85/6,980.60
  6. Step 6: Final answer
    x = 9,315.95

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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.