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Finding the Fourth Proportional to 6,744.84, 9,277.02 and 5,415.63

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Solution

The fourth proportional to 6,744.84, 9,277.02 and 5,415.63 is: 7,448.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.84 : 9,277.02 = 5,415.63 : x
  2. Step 2: Convert to fraction form
    6,744.84/9,277.02 = 5,415.63/x
  3. Step 3: Cross multiply
    6,744.84x = 9,277.02 × 5,415.63
  4. Step 4: Simplify right side
    6,744.84x = 50,240,907.82
  5. Step 5: Solve for x
    x = 50,240,907.82/6,744.84
  6. Step 6: Final answer
    x = 7,448.79

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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.