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Finding the Fourth Proportional to 6,182.96, 9,274.77 and 1,800.77

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Solution

The fourth proportional to 6,182.96, 9,274.77 and 1,800.77 is: 2,701.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.96 : 9,274.77 = 1,800.77 : x
  2. Step 2: Convert to fraction form
    6,182.96/9,274.77 = 1,800.77/x
  3. Step 3: Cross multiply
    6,182.96x = 9,274.77 × 1,800.77
  4. Step 4: Simplify right side
    6,182.96x = 16,701,681.20
  5. Step 5: Solve for x
    x = 16,701,681.20/6,182.96
  6. Step 6: Final answer
    x = 2,701.25

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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.