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Finding the Fourth Proportional to 9,844.38, 13,585.01 and 5,368.23

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Solution

The fourth proportional to 9,844.38, 13,585.01 and 5,368.23 is: 7,408.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,844.38 : 13,585.01 = 5,368.23 : x
  2. Step 2: Convert to fraction form
    9,844.38/13,585.01 = 5,368.23/x
  3. Step 3: Cross multiply
    9,844.38x = 13,585.01 × 5,368.23
  4. Step 4: Simplify right side
    9,844.38x = 72,927,431.39
  5. Step 5: Solve for x
    x = 72,927,431.39/9,844.38
  6. Step 6: Final answer
    x = 7,408.03

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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.