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Finding the Fourth Proportional to 9,574.08, 13,212.48 and 5,382.48

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Solution

The fourth proportional to 9,574.08, 13,212.48 and 5,382.48 is: 7,427.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.08 : 13,212.48 = 5,382.48 : x
  2. Step 2: Convert to fraction form
    9,574.08/13,212.48 = 5,382.48/x
  3. Step 3: Cross multiply
    9,574.08x = 13,212.48 × 5,382.48
  4. Step 4: Simplify right side
    9,574.08x = 71,115,909.35
  5. Step 5: Solve for x
    x = 71,115,909.35/9,574.08
  6. Step 6: Final answer
    x = 7,427.96

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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.