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Finding the Fourth Proportional to 6,484.52, 9,726.78 and 1,804.53

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Solution

The fourth proportional to 6,484.52, 9,726.78 and 1,804.53 is: 2,706.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.52 : 9,726.78 = 1,804.53 : x
  2. Step 2: Convert to fraction form
    6,484.52/9,726.78 = 1,804.53/x
  3. Step 3: Cross multiply
    6,484.52x = 9,726.78 × 1,804.53
  4. Step 4: Simplify right side
    6,484.52x = 17,552,266.31
  5. Step 5: Solve for x
    x = 17,552,266.31/6,484.52
  6. Step 6: Final answer
    x = 2,706.80

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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.