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Finding the Fourth Proportional to 7,048.92, 9,726.36 and 4,065.14

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Solution

The fourth proportional to 7,048.92, 9,726.36 and 4,065.14 is: 5,609.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048.92 : 9,726.36 = 4,065.14 : x
  2. Step 2: Convert to fraction form
    7,048.92/9,726.36 = 4,065.14/x
  3. Step 3: Cross multiply
    7,048.92x = 9,726.36 × 4,065.14
  4. Step 4: Simplify right side
    7,048.92x = 39,539,015.09
  5. Step 5: Solve for x
    x = 39,539,015.09/7,048.92
  6. Step 6: Final answer
    x = 5,609.23

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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.