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Finding the Fourth Proportional to 7,170.84, 9,895.42 and 3,984.34

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Solution

The fourth proportional to 7,170.84, 9,895.42 and 3,984.34 is: 5,498.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170.84 : 9,895.42 = 3,984.34 : x
  2. Step 2: Convert to fraction form
    7,170.84/9,895.42 = 3,984.34/x
  3. Step 3: Cross multiply
    7,170.84x = 9,895.42 × 3,984.34
  4. Step 4: Simplify right side
    7,170.84x = 39,426,717.72
  5. Step 5: Solve for x
    x = 39,426,717.72/7,170.84
  6. Step 6: Final answer
    x = 5,498.20

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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.