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Finding the Fourth Proportional to 7,099.94, 9,797.32 and 4,577.60

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Solution

The fourth proportional to 7,099.94, 9,797.32 and 4,577.60 is: 6,316.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.94 : 9,797.32 = 4,577.60 : x
  2. Step 2: Convert to fraction form
    7,099.94/9,797.32 = 4,577.60/x
  3. Step 3: Cross multiply
    7,099.94x = 9,797.32 × 4,577.60
  4. Step 4: Simplify right side
    7,099.94x = 44,848,212.03
  5. Step 5: Solve for x
    x = 44,848,212.03/7,099.94
  6. Step 6: Final answer
    x = 6,316.70

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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.