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Finding the Fourth Proportional to 9,506.80, 14,262.23 and 4,827.43

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Solution

The fourth proportional to 9,506.80, 14,262.23 and 4,827.43 is: 7,242.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.80 : 14,262.23 = 4,827.43 : x
  2. Step 2: Convert to fraction form
    9,506.80/14,262.23 = 4,827.43/x
  3. Step 3: Cross multiply
    9,506.80x = 14,262.23 × 4,827.43
  4. Step 4: Simplify right side
    9,506.80x = 68,849,916.97
  5. Step 5: Solve for x
    x = 68,849,916.97/9,506.80
  6. Step 6: Final answer
    x = 7,242.18

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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.