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Finding the Fourth Proportional to 7,099.07, 9,796.71 and 4,116.63

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Solution

The fourth proportional to 7,099.07, 9,796.71 and 4,116.63 is: 5,680.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.07 : 9,796.71 = 4,116.63 : x
  2. Step 2: Convert to fraction form
    7,099.07/9,796.71 = 4,116.63/x
  3. Step 3: Cross multiply
    7,099.07x = 9,796.71 × 4,116.63
  4. Step 4: Simplify right side
    7,099.07x = 40,329,454.91
  5. Step 5: Solve for x
    x = 40,329,454.91/7,099.07
  6. Step 6: Final answer
    x = 5,680.95

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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.