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Finding the Fourth Proportional to 9,349.65, 12,902.49 and 5,100.69

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Solution

The fourth proportional to 9,349.65, 12,902.49 and 5,100.69 is: 7,038.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349.65 : 12,902.49 = 5,100.69 : x
  2. Step 2: Convert to fraction form
    9,349.65/12,902.49 = 5,100.69/x
  3. Step 3: Cross multiply
    9,349.65x = 12,902.49 × 5,100.69
  4. Step 4: Simplify right side
    9,349.65x = 65,811,601.72
  5. Step 5: Solve for x
    x = 65,811,601.72/9,349.65
  6. Step 6: Final answer
    x = 7,038.94

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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.