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Finding the Fourth Proportional to 9,147.50, 12,623.64 and 4,955.84

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Solution

The fourth proportional to 9,147.50, 12,623.64 and 4,955.84 is: 6,839.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.50 : 12,623.64 = 4,955.84 : x
  2. Step 2: Convert to fraction form
    9,147.50/12,623.64 = 4,955.84/x
  3. Step 3: Cross multiply
    9,147.50x = 12,623.64 × 4,955.84
  4. Step 4: Simplify right side
    9,147.50x = 62,560,740.06
  5. Step 5: Solve for x
    x = 62,560,740.06/9,147.50
  6. Step 6: Final answer
    x = 6,839.11

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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.