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Finding the Fourth Proportional to 9,467.58, 13,065.24 and 5,218.32

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Solution

The fourth proportional to 9,467.58, 13,065.24 and 5,218.32 is: 7,201.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,467.58 : 13,065.24 = 5,218.32 : x
  2. Step 2: Convert to fraction form
    9,467.58/13,065.24 = 5,218.32/x
  3. Step 3: Cross multiply
    9,467.58x = 13,065.24 × 5,218.32
  4. Step 4: Simplify right side
    9,467.58x = 68,178,603.20
  5. Step 5: Solve for x
    x = 68,178,603.20/9,467.58
  6. Step 6: Final answer
    x = 7,201.27

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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.