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Finding the Fourth Proportional to 9,124.14, 12,588.38 and 7,203.87

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Solution

The fourth proportional to 9,124.14, 12,588.38 and 7,203.87 is: 9,939.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.14 : 12,588.38 = 7,203.87 : x
  2. Step 2: Convert to fraction form
    9,124.14/12,588.38 = 7,203.87/x
  3. Step 3: Cross multiply
    9,124.14x = 12,588.38 × 7,203.87
  4. Step 4: Simplify right side
    9,124.14x = 90,685,044.03
  5. Step 5: Solve for x
    x = 90,685,044.03/9,124.14
  6. Step 6: Final answer
    x = 9,939.02

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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.