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Finding the Fourth Proportional to 9,234.92, 13,858.86 and 7,159.70

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Solution

The fourth proportional to 9,234.92, 13,858.86 and 7,159.70 is: 10,744.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.92 : 13,858.86 = 7,159.70 : x
  2. Step 2: Convert to fraction form
    9,234.92/13,858.86 = 7,159.70/x
  3. Step 3: Cross multiply
    9,234.92x = 13,858.86 × 7,159.70
  4. Step 4: Simplify right side
    9,234.92x = 99,225,279.94
  5. Step 5: Solve for x
    x = 99,225,279.94/9,234.92
  6. Step 6: Final answer
    x = 10,744.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.