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Finding the Fourth Proportional to 6,715.80, 9,265.86 and 4,065.48

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Solution

The fourth proportional to 6,715.80, 9,265.86 and 4,065.48 is: 5,609.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,715.80 : 9,265.86 = 4,065.48 : x
  2. Step 2: Convert to fraction form
    6,715.80/9,265.86 = 4,065.48/x
  3. Step 3: Cross multiply
    6,715.80x = 9,265.86 × 4,065.48
  4. Step 4: Simplify right side
    6,715.80x = 37,670,168.51
  5. Step 5: Solve for x
    x = 37,670,168.51/6,715.80
  6. Step 6: Final answer
    x = 5,609.19

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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.