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Finding the Fourth Proportional to 7,041.36, 9,716.94 and 3,897.57

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Solution

The fourth proportional to 7,041.36, 9,716.94 and 3,897.57 is: 5,378.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,041.36 : 9,716.94 = 3,897.57 : x
  2. Step 2: Convert to fraction form
    7,041.36/9,716.94 = 3,897.57/x
  3. Step 3: Cross multiply
    7,041.36x = 9,716.94 × 3,897.57
  4. Step 4: Simplify right side
    7,041.36x = 37,872,453.84
  5. Step 5: Solve for x
    x = 37,872,453.84/7,041.36
  6. Step 6: Final answer
    x = 5,378.57

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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.