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Finding the Fourth Proportional to 7,129.76, 9,839.44 and 4,298.03

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Solution

The fourth proportional to 7,129.76, 9,839.44 and 4,298.03 is: 5,931.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.76 : 9,839.44 = 4,298.03 : x
  2. Step 2: Convert to fraction form
    7,129.76/9,839.44 = 4,298.03/x
  3. Step 3: Cross multiply
    7,129.76x = 9,839.44 × 4,298.03
  4. Step 4: Simplify right side
    7,129.76x = 42,290,238.27
  5. Step 5: Solve for x
    x = 42,290,238.27/7,129.76
  6. Step 6: Final answer
    x = 5,931.51

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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.