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Finding the Fourth Proportional to 9,028.32, 12,458.28 and 5,049.12

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Solution

The fourth proportional to 9,028.32, 12,458.28 and 5,049.12 is: 6,967.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,028.32 : 12,458.28 = 5,049.12 : x
  2. Step 2: Convert to fraction form
    9,028.32/12,458.28 = 5,049.12/x
  3. Step 3: Cross multiply
    9,028.32x = 12,458.28 × 5,049.12
  4. Step 4: Simplify right side
    9,028.32x = 62,903,350.71
  5. Step 5: Solve for x
    x = 62,903,350.71/9,028.32
  6. Step 6: Final answer
    x = 6,967.34

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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.