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Finding the Fourth Proportional to 7,100.94, 9,795.69 and 5,419.43

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Solution

The fourth proportional to 7,100.94, 9,795.69 and 5,419.43 is: 7,476.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.94 : 9,795.69 = 5,419.43 : x
  2. Step 2: Convert to fraction form
    7,100.94/9,795.69 = 5,419.43/x
  3. Step 3: Cross multiply
    7,100.94x = 9,795.69 × 5,419.43
  4. Step 4: Simplify right side
    7,100.94x = 53,087,045.32
  5. Step 5: Solve for x
    x = 53,087,045.32/7,100.94
  6. Step 6: Final answer
    x = 7,476.06

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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.