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Finding the Fourth Proportional to 7,052.34, 9,732.14 and 3,908.54

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Solution

The fourth proportional to 7,052.34, 9,732.14 and 3,908.54 is: 5,393.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052.34 : 9,732.14 = 3,908.54 : x
  2. Step 2: Convert to fraction form
    7,052.34/9,732.14 = 3,908.54/x
  3. Step 3: Cross multiply
    7,052.34x = 9,732.14 × 3,908.54
  4. Step 4: Simplify right side
    7,052.34x = 38,038,458.48
  5. Step 5: Solve for x
    x = 38,038,458.48/7,052.34
  6. Step 6: Final answer
    x = 5,393.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.