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Finding the Fourth Proportional to 7,036, 9,708.84 and 3,891.76

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Solution

The fourth proportional to 7,036, 9,708.84 and 3,891.76 is: 5,370.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,036 : 9,708.84 = 3,891.76 : x
  2. Step 2: Convert to fraction form
    7,036/9,708.84 = 3,891.76/x
  3. Step 3: Cross multiply
    7,036x = 9,708.84 × 3,891.76
  4. Step 4: Simplify right side
    7,036x = 37,784,475.16
  5. Step 5: Solve for x
    x = 37,784,475.16/7,036
  6. Step 6: Final answer
    x = 5,370.16

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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.