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Finding the Fourth Proportional to 6,726.81, 9,283.95 and 4,074.60

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Solution

The fourth proportional to 6,726.81, 9,283.95 and 4,074.60 is: 5,623.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,726.81 : 9,283.95 = 4,074.60 : x
  2. Step 2: Convert to fraction form
    6,726.81/9,283.95 = 4,074.60/x
  3. Step 3: Cross multiply
    6,726.81x = 9,283.95 × 4,074.60
  4. Step 4: Simplify right side
    6,726.81x = 37,828,382.67
  5. Step 5: Solve for x
    x = 37,828,382.67/6,726.81
  6. Step 6: Final answer
    x = 5,623.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.