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Finding the Fourth Proportional to 9,351.69, 12,904.43 and 5,159.67

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Solution

The fourth proportional to 9,351.69, 12,904.43 and 5,159.67 is: 7,119.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.69 : 12,904.43 = 5,159.67 : x
  2. Step 2: Convert to fraction form
    9,351.69/12,904.43 = 5,159.67/x
  3. Step 3: Cross multiply
    9,351.69x = 12,904.43 × 5,159.67
  4. Step 4: Simplify right side
    9,351.69x = 66,582,600.34
  5. Step 5: Solve for x
    x = 66,582,600.34/9,351.69
  6. Step 6: Final answer
    x = 7,119.85

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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.