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Finding the Fourth Proportional to 9,626.22, 13,284.18 and 5,434.38

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Solution

The fourth proportional to 9,626.22, 13,284.18 and 5,434.38 is: 7,499.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,626.22 : 13,284.18 = 5,434.38 : x
  2. Step 2: Convert to fraction form
    9,626.22/13,284.18 = 5,434.38/x
  3. Step 3: Cross multiply
    9,626.22x = 13,284.18 × 5,434.38
  4. Step 4: Simplify right side
    9,626.22x = 72,191,282.11
  5. Step 5: Solve for x
    x = 72,191,282.11/9,626.22
  6. Step 6: Final answer
    x = 7,499.44

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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.