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Finding the Fourth Proportional to 6,186.77, 9,281.52 and 1,804.57

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Solution

The fourth proportional to 6,186.77, 9,281.52 and 1,804.57 is: 2,707.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.77 : 9,281.52 = 1,804.57 : x
  2. Step 2: Convert to fraction form
    6,186.77/9,281.52 = 1,804.57/x
  3. Step 3: Cross multiply
    6,186.77x = 9,281.52 × 1,804.57
  4. Step 4: Simplify right side
    6,186.77x = 16,749,152.55
  5. Step 5: Solve for x
    x = 16,749,152.55/6,186.77
  6. Step 6: Final answer
    x = 2,707.25

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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.