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Finding the Fourth Proportional to 9,147.80, 12,623.94 and 4,956.02

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Solution

The fourth proportional to 9,147.80, 12,623.94 and 4,956.02 is: 6,839.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.80 : 12,623.94 = 4,956.02 : x
  2. Step 2: Convert to fraction form
    9,147.80/12,623.94 = 4,956.02/x
  3. Step 3: Cross multiply
    9,147.80x = 12,623.94 × 4,956.02
  4. Step 4: Simplify right side
    9,147.80x = 62,564,499.12
  5. Step 5: Solve for x
    x = 62,564,499.12/9,147.80
  6. Step 6: Final answer
    x = 6,839.29

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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.