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Finding the Fourth Proportional to 9,428.49, 12,998.93 and 7,836.50

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Solution

The fourth proportional to 9,428.49, 12,998.93 and 7,836.50 is: 10,804.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,428.49 : 12,998.93 = 7,836.50 : x
  2. Step 2: Convert to fraction form
    9,428.49/12,998.93 = 7,836.50/x
  3. Step 3: Cross multiply
    9,428.49x = 12,998.93 × 7,836.50
  4. Step 4: Simplify right side
    9,428.49x = 101,866,010.77
  5. Step 5: Solve for x
    x = 101,866,010.77/9,428.49
  6. Step 6: Final answer
    x = 10,804.06

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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.