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Finding the Fourth Proportional to 7,219.64, 9,960.09 and 4,857.68

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Solution

The fourth proportional to 7,219.64, 9,960.09 and 4,857.68 is: 6,701.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219.64 : 9,960.09 = 4,857.68 : x
  2. Step 2: Convert to fraction form
    7,219.64/9,960.09 = 4,857.68/x
  3. Step 3: Cross multiply
    7,219.64x = 9,960.09 × 4,857.68
  4. Step 4: Simplify right side
    7,219.64x = 48,382,929.99
  5. Step 5: Solve for x
    x = 48,382,929.99/7,219.64
  6. Step 6: Final answer
    x = 6,701.57

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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.