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Finding the Fourth Proportional to 6,776.46, 9,343.08 and 4,382.51

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Solution

The fourth proportional to 6,776.46, 9,343.08 and 4,382.51 is: 6,042.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.46 : 9,343.08 = 4,382.51 : x
  2. Step 2: Convert to fraction form
    6,776.46/9,343.08 = 4,382.51/x
  3. Step 3: Cross multiply
    6,776.46x = 9,343.08 × 4,382.51
  4. Step 4: Simplify right side
    6,776.46x = 40,946,094.82
  5. Step 5: Solve for x
    x = 40,946,094.82/6,776.46
  6. Step 6: Final answer
    x = 6,042.40

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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.