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Finding the Fourth Proportional to 10,969.90, 15,144.55 and 6,942.06

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Solution

The fourth proportional to 10,969.90, 15,144.55 and 6,942.06 is: 9,583.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.90 : 15,144.55 = 6,942.06 : x
  2. Step 2: Convert to fraction form
    10,969.90/15,144.55 = 6,942.06/x
  3. Step 3: Cross multiply
    10,969.90x = 15,144.55 × 6,942.06
  4. Step 4: Simplify right side
    10,969.90x = 105,134,357.42
  5. Step 5: Solve for x
    x = 105,134,357.42/10,969.90
  6. Step 6: Final answer
    x = 9,583.90

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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.