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Finding the Fourth Proportional to 6,533.25, 9,017.10 and 3,738.75

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Solution

The fourth proportional to 6,533.25, 9,017.10 and 3,738.75 is: 5,160.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.25 : 9,017.10 = 3,738.75 : x
  2. Step 2: Convert to fraction form
    6,533.25/9,017.10 = 3,738.75/x
  3. Step 3: Cross multiply
    6,533.25x = 9,017.10 × 3,738.75
  4. Step 4: Simplify right side
    6,533.25x = 33,712,682.63
  5. Step 5: Solve for x
    x = 33,712,682.63/6,533.25
  6. Step 6: Final answer
    x = 5,160.17

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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.