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Finding the Fourth Proportional to 9,456.10, 14,153.22 and 6,956.62

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Solution

The fourth proportional to 9,456.10, 14,153.22 and 6,956.62 is: 10,412.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456.10 : 14,153.22 = 6,956.62 : x
  2. Step 2: Convert to fraction form
    9,456.10/14,153.22 = 6,956.62/x
  3. Step 3: Cross multiply
    9,456.10x = 14,153.22 × 6,956.62
  4. Step 4: Simplify right side
    9,456.10x = 98,458,573.32
  5. Step 5: Solve for x
    x = 98,458,573.32/9,456.10
  6. Step 6: Final answer
    x = 10,412.18

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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.