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Finding the Fourth Proportional to 9,354.44, 12,904.80 and 5,995.64

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Solution

The fourth proportional to 9,354.44, 12,904.80 and 5,995.64 is: 8,271.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.44 : 12,904.80 = 5,995.64 : x
  2. Step 2: Convert to fraction form
    9,354.44/12,904.80 = 5,995.64/x
  3. Step 3: Cross multiply
    9,354.44x = 12,904.80 × 5,995.64
  4. Step 4: Simplify right side
    9,354.44x = 77,372,535.07
  5. Step 5: Solve for x
    x = 77,372,535.07/9,354.44
  6. Step 6: Final answer
    x = 8,271.21

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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.