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Finding the Fourth Proportional to 6,829.45, 9,429.28 and 5,233.28

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Solution

The fourth proportional to 6,829.45, 9,429.28 and 5,233.28 is: 7,225.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829.45 : 9,429.28 = 5,233.28 : x
  2. Step 2: Convert to fraction form
    6,829.45/9,429.28 = 5,233.28/x
  3. Step 3: Cross multiply
    6,829.45x = 9,429.28 × 5,233.28
  4. Step 4: Simplify right side
    6,829.45x = 49,346,002.21
  5. Step 5: Solve for x
    x = 49,346,002.21/6,829.45
  6. Step 6: Final answer
    x = 7,225.48

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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.