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Finding the Fourth Proportional to 9,578.96, 13,218.68 and 5,804.36

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Solution

The fourth proportional to 9,578.96, 13,218.68 and 5,804.36 is: 8,009.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.96 : 13,218.68 = 5,804.36 : x
  2. Step 2: Convert to fraction form
    9,578.96/13,218.68 = 5,804.36/x
  3. Step 3: Cross multiply
    9,578.96x = 13,218.68 × 5,804.36
  4. Step 4: Simplify right side
    9,578.96x = 76,725,977.44
  5. Step 5: Solve for x
    x = 76,725,977.44/9,578.96
  6. Step 6: Final answer
    x = 8,009.84

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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.