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Finding the Fourth Proportional to 6,969.78, 9,622.80 and 4,320

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Solution

The fourth proportional to 6,969.78, 9,622.80 and 4,320 is: 5,964.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.78 : 9,622.80 = 4,320 : x
  2. Step 2: Convert to fraction form
    6,969.78/9,622.80 = 4,320/x
  3. Step 3: Cross multiply
    6,969.78x = 9,622.80 × 4,320
  4. Step 4: Simplify right side
    6,969.78x = 41,570,496
  5. Step 5: Solve for x
    x = 41,570,496/6,969.78
  6. Step 6: Final answer
    x = 5,964.39

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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.