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Finding the Fourth Proportional to 7,047.38, 9,725.45 and 3,903.63

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Solution

The fourth proportional to 7,047.38, 9,725.45 and 3,903.63 is: 5,387.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.38 : 9,725.45 = 3,903.63 : x
  2. Step 2: Convert to fraction form
    7,047.38/9,725.45 = 3,903.63/x
  3. Step 3: Cross multiply
    7,047.38x = 9,725.45 × 3,903.63
  4. Step 4: Simplify right side
    7,047.38x = 37,964,558.38
  5. Step 5: Solve for x
    x = 37,964,558.38/7,047.38
  6. Step 6: Final answer
    x = 5,387.05

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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.