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Finding the Fourth Proportional to 9,350.19, 12,907.42 and 5,815.76

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Solution

The fourth proportional to 9,350.19, 12,907.42 and 5,815.76 is: 8,028.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,350.19 : 12,907.42 = 5,815.76 : x
  2. Step 2: Convert to fraction form
    9,350.19/12,907.42 = 5,815.76/x
  3. Step 3: Cross multiply
    9,350.19x = 12,907.42 × 5,815.76
  4. Step 4: Simplify right side
    9,350.19x = 75,066,377.86
  5. Step 5: Solve for x
    x = 75,066,377.86/9,350.19
  6. Step 6: Final answer
    x = 8,028.33

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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.