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Finding the Fourth Proportional to 7,073.92, 9,758.10 and 4,239.46

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Solution

The fourth proportional to 7,073.92, 9,758.10 and 4,239.46 is: 5,848.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,073.92 : 9,758.10 = 4,239.46 : x
  2. Step 2: Convert to fraction form
    7,073.92/9,758.10 = 4,239.46/x
  3. Step 3: Cross multiply
    7,073.92x = 9,758.10 × 4,239.46
  4. Step 4: Simplify right side
    7,073.92x = 41,369,074.63
  5. Step 5: Solve for x
    x = 41,369,074.63/7,073.92
  6. Step 6: Final answer
    x = 5,848.11

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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.