Home / 9,097.04-13,644-2,523.24

Finding the Fourth Proportional to 9,097.04, 13,644 and 2,523.24

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Solution

The fourth proportional to 9,097.04, 13,644 and 2,523.24 is: 3,784.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.04 : 13,644 = 2,523.24 : x
  2. Step 2: Convert to fraction form
    9,097.04/13,644 = 2,523.24/x
  3. Step 3: Cross multiply
    9,097.04x = 13,644 × 2,523.24
  4. Step 4: Simplify right side
    9,097.04x = 34,427,086.56
  5. Step 5: Solve for x
    x = 34,427,086.56/9,097.04
  6. Step 6: Final answer
    x = 3,784.43

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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.