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Finding the Fourth Proportional to 9,506.63, 14,252.25 and 5,807.61

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Solution

The fourth proportional to 9,506.63, 14,252.25 and 5,807.61 is: 8,706.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.63 : 14,252.25 = 5,807.61 : x
  2. Step 2: Convert to fraction form
    9,506.63/14,252.25 = 5,807.61/x
  3. Step 3: Cross multiply
    9,506.63x = 14,252.25 × 5,807.61
  4. Step 4: Simplify right side
    9,506.63x = 82,771,409.32
  5. Step 5: Solve for x
    x = 82,771,409.32/9,506.63
  6. Step 6: Final answer
    x = 8,706.71

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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.