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Finding the Fourth Proportional to 9,633.12, 13,293.72 and 5,441.38

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Solution

The fourth proportional to 9,633.12, 13,293.72 and 5,441.38 is: 7,509.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.12 : 13,293.72 = 5,441.38 : x
  2. Step 2: Convert to fraction form
    9,633.12/13,293.72 = 5,441.38/x
  3. Step 3: Cross multiply
    9,633.12x = 13,293.72 × 5,441.38
  4. Step 4: Simplify right side
    9,633.12x = 72,336,182.13
  5. Step 5: Solve for x
    x = 72,336,182.13/9,633.12
  6. Step 6: Final answer
    x = 7,509.11

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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.