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Finding the Fourth Proportional to 9,318.84, 12,863.36 and 6,176.04

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Solution

The fourth proportional to 9,318.84, 12,863.36 and 6,176.04 is: 8,525.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,318.84 : 12,863.36 = 6,176.04 : x
  2. Step 2: Convert to fraction form
    9,318.84/12,863.36 = 6,176.04/x
  3. Step 3: Cross multiply
    9,318.84x = 12,863.36 × 6,176.04
  4. Step 4: Simplify right side
    9,318.84x = 79,444,625.89
  5. Step 5: Solve for x
    x = 79,444,625.89/9,318.84
  6. Step 6: Final answer
    x = 8,525.16

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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.