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Finding the Fourth Proportional to 9,346.75, 12,898.46 and 5,097.73

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Solution

The fourth proportional to 9,346.75, 12,898.46 and 5,097.73 is: 7,034.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,346.75 : 12,898.46 = 5,097.73 : x
  2. Step 2: Convert to fraction form
    9,346.75/12,898.46 = 5,097.73/x
  3. Step 3: Cross multiply
    9,346.75x = 12,898.46 × 5,097.73
  4. Step 4: Simplify right side
    9,346.75x = 65,752,866.50
  5. Step 5: Solve for x
    x = 65,752,866.50/9,346.75
  6. Step 6: Final answer
    x = 7,034.84

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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.