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Finding the Fourth Proportional to 9,207.56, 13,816.80 and 4,827.49

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Solution

The fourth proportional to 9,207.56, 13,816.80 and 4,827.49 is: 7,244.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.56 : 13,816.80 = 4,827.49 : x
  2. Step 2: Convert to fraction form
    9,207.56/13,816.80 = 4,827.49/x
  3. Step 3: Cross multiply
    9,207.56x = 13,816.80 × 4,827.49
  4. Step 4: Simplify right side
    9,207.56x = 66,700,463.83
  5. Step 5: Solve for x
    x = 66,700,463.83/9,207.56
  6. Step 6: Final answer
    x = 7,244.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.