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Finding the Fourth Proportional to 6,437.63, 8,884.19 and 3,643.13

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Solution

The fourth proportional to 6,437.63, 8,884.19 and 3,643.13 is: 5,027.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.63 : 8,884.19 = 3,643.13 : x
  2. Step 2: Convert to fraction form
    6,437.63/8,884.19 = 3,643.13/x
  3. Step 3: Cross multiply
    6,437.63x = 8,884.19 × 3,643.13
  4. Step 4: Simplify right side
    6,437.63x = 32,366,223.80
  5. Step 5: Solve for x
    x = 32,366,223.80/6,437.63
  6. Step 6: Final answer
    x = 5,027.67

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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.