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Finding the Fourth Proportional to 9,467.32, 13,068.92 and 5,929.80

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Solution

The fourth proportional to 9,467.32, 13,068.92 and 5,929.80 is: 8,185.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,467.32 : 13,068.92 = 5,929.80 : x
  2. Step 2: Convert to fraction form
    9,467.32/13,068.92 = 5,929.80/x
  3. Step 3: Cross multiply
    9,467.32x = 13,068.92 × 5,929.80
  4. Step 4: Simplify right side
    9,467.32x = 77,496,081.82
  5. Step 5: Solve for x
    x = 77,496,081.82/9,467.32
  6. Step 6: Final answer
    x = 8,185.64

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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.