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Finding the Fourth Proportional to 9,772, 13,485.84 and 5,356

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Solution

The fourth proportional to 9,772, 13,485.84 and 5,356 is: 7,391.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772 : 13,485.84 = 5,356 : x
  2. Step 2: Convert to fraction form
    9,772/13,485.84 = 5,356/x
  3. Step 3: Cross multiply
    9,772x = 13,485.84 × 5,356
  4. Step 4: Simplify right side
    9,772x = 72,230,159.04
  5. Step 5: Solve for x
    x = 72,230,159.04/9,772
  6. Step 6: Final answer
    x = 7,391.54

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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.