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Finding the Fourth Proportional to 9,972.30, 14,926.05 and 7,769.10

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Solution

The fourth proportional to 9,972.30, 14,926.05 and 7,769.10 is: 11,628.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972.30 : 14,926.05 = 7,769.10 : x
  2. Step 2: Convert to fraction form
    9,972.30/14,926.05 = 7,769.10/x
  3. Step 3: Cross multiply
    9,972.30x = 14,926.05 × 7,769.10
  4. Step 4: Simplify right side
    9,972.30x = 115,961,975.06
  5. Step 5: Solve for x
    x = 115,961,975.06/9,972.30
  6. Step 6: Final answer
    x = 11,628.41

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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.