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Finding the Fourth Proportional to 9,435.38, 13,022.40 and 5,458.92

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Solution

The fourth proportional to 9,435.38, 13,022.40 and 5,458.92 is: 7,534.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,435.38 : 13,022.40 = 5,458.92 : x
  2. Step 2: Convert to fraction form
    9,435.38/13,022.40 = 5,458.92/x
  3. Step 3: Cross multiply
    9,435.38x = 13,022.40 × 5,458.92
  4. Step 4: Simplify right side
    9,435.38x = 71,088,239.81
  5. Step 5: Solve for x
    x = 71,088,239.81/9,435.38
  6. Step 6: Final answer
    x = 7,534.22

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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.