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Finding the Fourth Proportional to 9,349.42, 12,902.02 and 5,100.51

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Solution

The fourth proportional to 9,349.42, 12,902.02 and 5,100.51 is: 7,038.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349.42 : 12,902.02 = 5,100.51 : x
  2. Step 2: Convert to fraction form
    9,349.42/12,902.02 = 5,100.51/x
  3. Step 3: Cross multiply
    9,349.42x = 12,902.02 × 5,100.51
  4. Step 4: Simplify right side
    9,349.42x = 65,806,882.03
  5. Step 5: Solve for x
    x = 65,806,882.03/9,349.42
  6. Step 6: Final answer
    x = 7,038.61

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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.