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Finding the Fourth Proportional to 7,054.44, 9,740.70 and 5,726.04

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Solution

The fourth proportional to 7,054.44, 9,740.70 and 5,726.04 is: 7,906.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.44 : 9,740.70 = 5,726.04 : x
  2. Step 2: Convert to fraction form
    7,054.44/9,740.70 = 5,726.04/x
  3. Step 3: Cross multiply
    7,054.44x = 9,740.70 × 5,726.04
  4. Step 4: Simplify right side
    7,054.44x = 55,775,637.83
  5. Step 5: Solve for x
    x = 55,775,637.83/7,054.44
  6. Step 6: Final answer
    x = 7,906.46

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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.