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Finding the Fourth Proportional to 7,100.07, 9,795.51 and 4,114.82

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Solution

The fourth proportional to 7,100.07, 9,795.51 and 4,114.82 is: 5,676.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.07 : 9,795.51 = 4,114.82 : x
  2. Step 2: Convert to fraction form
    7,100.07/9,795.51 = 4,114.82/x
  3. Step 3: Cross multiply
    7,100.07x = 9,795.51 × 4,114.82
  4. Step 4: Simplify right side
    7,100.07x = 40,306,760.46
  5. Step 5: Solve for x
    x = 40,306,760.46/7,100.07
  6. Step 6: Final answer
    x = 5,676.95

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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.