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Finding the Fourth Proportional to 9,126.29, 12,594.32 and 4,934.54

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Solution

The fourth proportional to 9,126.29, 12,594.32 and 4,934.54 is: 6,809.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,126.29 : 12,594.32 = 4,934.54 : x
  2. Step 2: Convert to fraction form
    9,126.29/12,594.32 = 4,934.54/x
  3. Step 3: Cross multiply
    9,126.29x = 12,594.32 × 4,934.54
  4. Step 4: Simplify right side
    9,126.29x = 62,147,151.14
  5. Step 5: Solve for x
    x = 62,147,151.14/9,126.29
  6. Step 6: Final answer
    x = 6,809.68

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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.