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Finding the Fourth Proportional to 9,297.94, 12,828 and 5,316.24

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Solution

The fourth proportional to 9,297.94, 12,828 and 5,316.24 is: 7,334.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.94 : 12,828 = 5,316.24 : x
  2. Step 2: Convert to fraction form
    9,297.94/12,828 = 5,316.24/x
  3. Step 3: Cross multiply
    9,297.94x = 12,828 × 5,316.24
  4. Step 4: Simplify right side
    9,297.94x = 68,196,726.72
  5. Step 5: Solve for x
    x = 68,196,726.72/9,297.94
  6. Step 6: Final answer
    x = 7,334.61

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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.