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Finding the Fourth Proportional to 9,147.64, 12,623.78 and 4,955.89

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Solution

The fourth proportional to 9,147.64, 12,623.78 and 4,955.89 is: 6,839.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.64 : 12,623.78 = 4,955.89 : x
  2. Step 2: Convert to fraction form
    9,147.64/12,623.78 = 4,955.89/x
  3. Step 3: Cross multiply
    9,147.64x = 12,623.78 × 4,955.89
  4. Step 4: Simplify right side
    9,147.64x = 62,562,065.06
  5. Step 5: Solve for x
    x = 62,562,065.06/9,147.64
  6. Step 6: Final answer
    x = 6,839.15

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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.