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Finding the Fourth Proportional to 10,129.44, 13,969.14 and 6,720.42

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Solution

The fourth proportional to 10,129.44, 13,969.14 and 6,720.42 is: 9,267.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129.44 : 13,969.14 = 6,720.42 : x
  2. Step 2: Convert to fraction form
    10,129.44/13,969.14 = 6,720.42/x
  3. Step 3: Cross multiply
    10,129.44x = 13,969.14 × 6,720.42
  4. Step 4: Simplify right side
    10,129.44x = 93,878,487.84
  5. Step 5: Solve for x
    x = 93,878,487.84/10,129.44
  6. Step 6: Final answer
    x = 9,267.89

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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.