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Finding the Fourth Proportional to 6,484.21, 9,726.32 and 1,804.21

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Solution

The fourth proportional to 6,484.21, 9,726.32 and 1,804.21 is: 2,706.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.21 : 9,726.32 = 1,804.21 : x
  2. Step 2: Convert to fraction form
    6,484.21/9,726.32 = 1,804.21/x
  3. Step 3: Cross multiply
    6,484.21x = 9,726.32 × 1,804.21
  4. Step 4: Simplify right side
    6,484.21x = 17,548,339.10
  5. Step 5: Solve for x
    x = 17,548,339.10/6,484.21
  6. Step 6: Final answer
    x = 2,706.32

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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.