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Finding the Fourth Proportional to 7,117.22, 9,825.36 and 4,880

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Solution

The fourth proportional to 7,117.22, 9,825.36 and 4,880 is: 6,736.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.22 : 9,825.36 = 4,880 : x
  2. Step 2: Convert to fraction form
    7,117.22/9,825.36 = 4,880/x
  3. Step 3: Cross multiply
    7,117.22x = 9,825.36 × 4,880
  4. Step 4: Simplify right side
    7,117.22x = 47,947,756.80
  5. Step 5: Solve for x
    x = 47,947,756.80/7,117.22
  6. Step 6: Final answer
    x = 6,736.87

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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.