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Finding the Fourth Proportional to 6,738.54, 9,303.47 and 4,617.64

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Solution

The fourth proportional to 6,738.54, 9,303.47 and 4,617.64 is: 6,375.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.54 : 9,303.47 = 4,617.64 : x
  2. Step 2: Convert to fraction form
    6,738.54/9,303.47 = 4,617.64/x
  3. Step 3: Cross multiply
    6,738.54x = 9,303.47 × 4,617.64
  4. Step 4: Simplify right side
    6,738.54x = 42,960,075.21
  5. Step 5: Solve for x
    x = 42,960,075.21/6,738.54
  6. Step 6: Final answer
    x = 6,375.28

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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.