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Finding the Fourth Proportional to 6,300.64, 9,451.49 and 1,918.13

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Solution

The fourth proportional to 6,300.64, 9,451.49 and 1,918.13 is: 2,877.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300.64 : 9,451.49 = 1,918.13 : x
  2. Step 2: Convert to fraction form
    6,300.64/9,451.49 = 1,918.13/x
  3. Step 3: Cross multiply
    6,300.64x = 9,451.49 × 1,918.13
  4. Step 4: Simplify right side
    6,300.64x = 18,129,200.55
  5. Step 5: Solve for x
    x = 18,129,200.55/6,300.64
  6. Step 6: Final answer
    x = 2,877.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.