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Finding the Fourth Proportional to 10,388.34, 14,333.22 and 6,609.96

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Solution

The fourth proportional to 10,388.34, 14,333.22 and 6,609.96 is: 9,120.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388.34 : 14,333.22 = 6,609.96 : x
  2. Step 2: Convert to fraction form
    10,388.34/14,333.22 = 6,609.96/x
  3. Step 3: Cross multiply
    10,388.34x = 14,333.22 × 6,609.96
  4. Step 4: Simplify right side
    10,388.34x = 94,742,010.87
  5. Step 5: Solve for x
    x = 94,742,010.87/10,388.34
  6. Step 6: Final answer
    x = 9,120.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.