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Finding the Fourth Proportional to 9,289.35, 12,818.67 and 5,097.87

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Solution

The fourth proportional to 9,289.35, 12,818.67 and 5,097.87 is: 7,034.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.35 : 12,818.67 = 5,097.87 : x
  2. Step 2: Convert to fraction form
    9,289.35/12,818.67 = 5,097.87/x
  3. Step 3: Cross multiply
    9,289.35x = 12,818.67 × 5,097.87
  4. Step 4: Simplify right side
    9,289.35x = 65,347,823.65
  5. Step 5: Solve for x
    x = 65,347,823.65/9,289.35
  6. Step 6: Final answer
    x = 7,034.71

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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.