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Finding the Fourth Proportional to 6,716.66, 9,269.58 and 3,733.10

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Solution

The fourth proportional to 6,716.66, 9,269.58 and 3,733.10 is: 5,152.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.66 : 9,269.58 = 3,733.10 : x
  2. Step 2: Convert to fraction form
    6,716.66/9,269.58 = 3,733.10/x
  3. Step 3: Cross multiply
    6,716.66x = 9,269.58 × 3,733.10
  4. Step 4: Simplify right side
    6,716.66x = 34,604,269.10
  5. Step 5: Solve for x
    x = 34,604,269.10/6,716.66
  6. Step 6: Final answer
    x = 5,152.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.