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Finding the Fourth Proportional to 9,378.22, 14,072.22 and 6,802.42

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Solution

The fourth proportional to 9,378.22, 14,072.22 and 6,802.42 is: 10,207.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378.22 : 14,072.22 = 6,802.42 : x
  2. Step 2: Convert to fraction form
    9,378.22/14,072.22 = 6,802.42/x
  3. Step 3: Cross multiply
    9,378.22x = 14,072.22 × 6,802.42
  4. Step 4: Simplify right side
    9,378.22x = 95,725,150.77
  5. Step 5: Solve for x
    x = 95,725,150.77/9,378.22
  6. Step 6: Final answer
    x = 10,207.18

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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.