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Finding the Fourth Proportional to 9,628.12, 14,440.56 and 2,701

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Solution

The fourth proportional to 9,628.12, 14,440.56 and 2,701 is: 4,051.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628.12 : 14,440.56 = 2,701 : x
  2. Step 2: Convert to fraction form
    9,628.12/14,440.56 = 2,701/x
  3. Step 3: Cross multiply
    9,628.12x = 14,440.56 × 2,701
  4. Step 4: Simplify right side
    9,628.12x = 39,003,952.56
  5. Step 5: Solve for x
    x = 39,003,952.56/9,628.12
  6. Step 6: Final answer
    x = 4,051.05

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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.