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Finding the Fourth Proportional to 6,839.12, 9,477.63 and 6,707.88

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Solution

The fourth proportional to 6,839.12, 9,477.63 and 6,707.88 is: 9,295.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839.12 : 9,477.63 = 6,707.88 : x
  2. Step 2: Convert to fraction form
    6,839.12/9,477.63 = 6,707.88/x
  3. Step 3: Cross multiply
    6,839.12x = 9,477.63 × 6,707.88
  4. Step 4: Simplify right side
    6,839.12x = 63,574,804.72
  5. Step 5: Solve for x
    x = 63,574,804.72/6,839.12
  6. Step 6: Final answer
    x = 9,295.76

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.