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Finding the Fourth Proportional to 9,257.88, 13,877.46 and 4,631.16

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Solution

The fourth proportional to 9,257.88, 13,877.46 and 4,631.16 is: 6,942.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.88 : 13,877.46 = 4,631.16 : x
  2. Step 2: Convert to fraction form
    9,257.88/13,877.46 = 4,631.16/x
  3. Step 3: Cross multiply
    9,257.88x = 13,877.46 × 4,631.16
  4. Step 4: Simplify right side
    9,257.88x = 64,268,737.65
  5. Step 5: Solve for x
    x = 64,268,737.65/9,257.88
  6. Step 6: Final answer
    x = 6,942.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.