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Finding the Fourth Proportional to 8,964.68, 13,435.47 and 3,693.40

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Solution

The fourth proportional to 8,964.68, 13,435.47 and 3,693.40 is: 5,535.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964.68 : 13,435.47 = 3,693.40 : x
  2. Step 2: Convert to fraction form
    8,964.68/13,435.47 = 3,693.40/x
  3. Step 3: Cross multiply
    8,964.68x = 13,435.47 × 3,693.40
  4. Step 4: Simplify right side
    8,964.68x = 49,622,531.31
  5. Step 5: Solve for x
    x = 49,622,531.31/8,964.68
  6. Step 6: Final answer
    x = 5,535.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.