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Finding the Fourth Proportional to 6,726.42, 9,277.20 and 4,369.32

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Solution

The fourth proportional to 6,726.42, 9,277.20 and 4,369.32 is: 6,026.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,726.42 : 9,277.20 = 4,369.32 : x
  2. Step 2: Convert to fraction form
    6,726.42/9,277.20 = 4,369.32/x
  3. Step 3: Cross multiply
    6,726.42x = 9,277.20 × 4,369.32
  4. Step 4: Simplify right side
    6,726.42x = 40,535,055.50
  5. Step 5: Solve for x
    x = 40,535,055.50/6,726.42
  6. Step 6: Final answer
    x = 6,026.25

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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.