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Finding the Fourth Proportional to 7,238.14, 9,988.44 and 4,253.28

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Solution

The fourth proportional to 7,238.14, 9,988.44 and 4,253.28 is: 5,869.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238.14 : 9,988.44 = 4,253.28 : x
  2. Step 2: Convert to fraction form
    7,238.14/9,988.44 = 4,253.28/x
  3. Step 3: Cross multiply
    7,238.14x = 9,988.44 × 4,253.28
  4. Step 4: Simplify right side
    7,238.14x = 42,483,632.08
  5. Step 5: Solve for x
    x = 42,483,632.08/7,238.14
  6. Step 6: Final answer
    x = 5,869.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.