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Finding the Fourth Proportional to 7,052.03, 9,731.75 and 3,865.34

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Solution

The fourth proportional to 7,052.03, 9,731.75 and 3,865.34 is: 5,334.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052.03 : 9,731.75 = 3,865.34 : x
  2. Step 2: Convert to fraction form
    7,052.03/9,731.75 = 3,865.34/x
  3. Step 3: Cross multiply
    7,052.03x = 9,731.75 × 3,865.34
  4. Step 4: Simplify right side
    7,052.03x = 37,616,472.81
  5. Step 5: Solve for x
    x = 37,616,472.81/7,052.03
  6. Step 6: Final answer
    x = 5,334.13

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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.