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Finding the Fourth Proportional to 9,885.90, 14,812.43 and 6,958.05

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Solution

The fourth proportional to 9,885.90, 14,812.43 and 6,958.05 is: 10,425.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.90 : 14,812.43 = 6,958.05 : x
  2. Step 2: Convert to fraction form
    9,885.90/14,812.43 = 6,958.05/x
  3. Step 3: Cross multiply
    9,885.90x = 14,812.43 × 6,958.05
  4. Step 4: Simplify right side
    9,885.90x = 103,065,628.56
  5. Step 5: Solve for x
    x = 103,065,628.56/9,885.90
  6. Step 6: Final answer
    x = 10,425.52

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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.