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Finding the Fourth Proportional to 9,782.28, 13,497.44 and 5,804.71

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Solution

The fourth proportional to 9,782.28, 13,497.44 and 5,804.71 is: 8,009.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.28 : 13,497.44 = 5,804.71 : x
  2. Step 2: Convert to fraction form
    9,782.28/13,497.44 = 5,804.71/x
  3. Step 3: Cross multiply
    9,782.28x = 13,497.44 × 5,804.71
  4. Step 4: Simplify right side
    9,782.28x = 78,348,662.18
  5. Step 5: Solve for x
    x = 78,348,662.18/9,782.28
  6. Step 6: Final answer
    x = 8,009.24

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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.