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Finding the Fourth Proportional to 7,104.80, 9,804.66 and 4,122.41

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Solution

The fourth proportional to 7,104.80, 9,804.66 and 4,122.41 is: 5,688.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,104.80 : 9,804.66 = 4,122.41 : x
  2. Step 2: Convert to fraction form
    7,104.80/9,804.66 = 4,122.41/x
  3. Step 3: Cross multiply
    7,104.80x = 9,804.66 × 4,122.41
  4. Step 4: Simplify right side
    7,104.80x = 40,418,779.41
  5. Step 5: Solve for x
    x = 40,418,779.41/7,104.80
  6. Step 6: Final answer
    x = 5,688.94

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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.