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Finding the Fourth Proportional to 9,351.59, 12,905.19 and 5,159.84

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Solution

The fourth proportional to 9,351.59, 12,905.19 and 5,159.84 is: 7,120.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.59 : 12,905.19 = 5,159.84 : x
  2. Step 2: Convert to fraction form
    9,351.59/12,905.19 = 5,159.84/x
  3. Step 3: Cross multiply
    9,351.59x = 12,905.19 × 5,159.84
  4. Step 4: Simplify right side
    9,351.59x = 66,588,651.04
  5. Step 5: Solve for x
    x = 66,588,651.04/9,351.59
  6. Step 6: Final answer
    x = 7,120.57

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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.