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Finding the Fourth Proportional to 9,814.35, 13,544.06 and 5,338.36

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Solution

The fourth proportional to 9,814.35, 13,544.06 and 5,338.36 is: 7,367.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.35 : 13,544.06 = 5,338.36 : x
  2. Step 2: Convert to fraction form
    9,814.35/13,544.06 = 5,338.36/x
  3. Step 3: Cross multiply
    9,814.35x = 13,544.06 × 5,338.36
  4. Step 4: Simplify right side
    9,814.35x = 72,303,068.14
  5. Step 5: Solve for x
    x = 72,303,068.14/9,814.35
  6. Step 6: Final answer
    x = 7,367.08

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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.