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Finding the Fourth Proportional to 9,706.44, 14,556.59 and 6,436.88

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Solution

The fourth proportional to 9,706.44, 14,556.59 and 6,436.88 is: 9,653.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.44 : 14,556.59 = 6,436.88 : x
  2. Step 2: Convert to fraction form
    9,706.44/14,556.59 = 6,436.88/x
  3. Step 3: Cross multiply
    9,706.44x = 14,556.59 × 6,436.88
  4. Step 4: Simplify right side
    9,706.44x = 93,698,918.07
  5. Step 5: Solve for x
    x = 93,698,918.07/9,706.44
  6. Step 6: Final answer
    x = 9,653.27

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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.