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Finding the Fourth Proportional to 6,830.09, 9,411.66 and 5,236.77

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Solution

The fourth proportional to 6,830.09, 9,411.66 and 5,236.77 is: 7,216.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.09 : 9,411.66 = 5,236.77 : x
  2. Step 2: Convert to fraction form
    6,830.09/9,411.66 = 5,236.77/x
  3. Step 3: Cross multiply
    6,830.09x = 9,411.66 × 5,236.77
  4. Step 4: Simplify right side
    6,830.09x = 49,286,698.74
  5. Step 5: Solve for x
    x = 49,286,698.74/6,830.09
  6. Step 6: Final answer
    x = 7,216.12

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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.