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Finding the Fourth Proportional to 9,477.09, 14,223.38 and 6,706.43

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Solution

The fourth proportional to 9,477.09, 14,223.38 and 6,706.43 is: 10,065.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.09 : 14,223.38 = 6,706.43 : x
  2. Step 2: Convert to fraction form
    9,477.09/14,223.38 = 6,706.43/x
  3. Step 3: Cross multiply
    9,477.09x = 14,223.38 × 6,706.43
  4. Step 4: Simplify right side
    9,477.09x = 95,388,102.33
  5. Step 5: Solve for x
    x = 95,388,102.33/9,477.09
  6. Step 6: Final answer
    x = 10,065.13

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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.