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Finding the Fourth Proportional to 7,219.46, 9,971.04 and 4,857.50

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Solution

The fourth proportional to 7,219.46, 9,971.04 and 4,857.50 is: 6,708.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219.46 : 9,971.04 = 4,857.50 : x
  2. Step 2: Convert to fraction form
    7,219.46/9,971.04 = 4,857.50/x
  3. Step 3: Cross multiply
    7,219.46x = 9,971.04 × 4,857.50
  4. Step 4: Simplify right side
    7,219.46x = 48,434,326.80
  5. Step 5: Solve for x
    x = 48,434,326.80/7,219.46
  6. Step 6: Final answer
    x = 6,708.86

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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.