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Finding the Fourth Proportional to 9,952.32, 13,704.58 and 9,731.33

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Solution

The fourth proportional to 9,952.32, 13,704.58 and 9,731.33 is: 13,400.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.32 : 13,704.58 = 9,731.33 : x
  2. Step 2: Convert to fraction form
    9,952.32/13,704.58 = 9,731.33/x
  3. Step 3: Cross multiply
    9,952.32x = 13,704.58 × 9,731.33
  4. Step 4: Simplify right side
    9,952.32x = 133,363,697.64
  5. Step 5: Solve for x
    x = 133,363,697.64/9,952.32
  6. Step 6: Final answer
    x = 13,400.26

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1.5x scale

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.