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Finding the Fourth Proportional to 7,141.06, 9,851.36 and 4,623.99

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Solution

The fourth proportional to 7,141.06, 9,851.36 and 4,623.99 is: 6,378.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.06 : 9,851.36 = 4,623.99 : x
  2. Step 2: Convert to fraction form
    7,141.06/9,851.36 = 4,623.99/x
  3. Step 3: Cross multiply
    7,141.06x = 9,851.36 × 4,623.99
  4. Step 4: Simplify right side
    7,141.06x = 45,552,530.06
  5. Step 5: Solve for x
    x = 45,552,530.06/7,141.06
  6. Step 6: Final answer
    x = 6,378.96

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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.