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Finding the Fourth Proportional to 6,914.77, 9,518.40 and 5,233.21

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Solution

The fourth proportional to 6,914.77, 9,518.40 and 5,233.21 is: 7,203.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.77 : 9,518.40 = 5,233.21 : x
  2. Step 2: Convert to fraction form
    6,914.77/9,518.40 = 5,233.21/x
  3. Step 3: Cross multiply
    6,914.77x = 9,518.40 × 5,233.21
  4. Step 4: Simplify right side
    6,914.77x = 49,811,815.81
  5. Step 5: Solve for x
    x = 49,811,815.81/6,914.77
  6. Step 6: Final answer
    x = 7,203.68

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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.