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Finding the Fourth Proportional to 9,228, 12,734.78 and 5,036.26

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Solution

The fourth proportional to 9,228, 12,734.78 and 5,036.26 is: 6,950.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228 : 12,734.78 = 5,036.26 : x
  2. Step 2: Convert to fraction form
    9,228/12,734.78 = 5,036.26/x
  3. Step 3: Cross multiply
    9,228x = 12,734.78 × 5,036.26
  4. Step 4: Simplify right side
    9,228x = 64,135,663.12
  5. Step 5: Solve for x
    x = 64,135,663.12/9,228
  6. Step 6: Final answer
    x = 6,950.12

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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.