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Finding the Fourth Proportional to 9,252.46, 13,880 and 3,010.47

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Solution

The fourth proportional to 9,252.46, 13,880 and 3,010.47 is: 4,516.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,252.46 : 13,880 = 3,010.47 : x
  2. Step 2: Convert to fraction form
    9,252.46/13,880 = 3,010.47/x
  3. Step 3: Cross multiply
    9,252.46x = 13,880 × 3,010.47
  4. Step 4: Simplify right side
    9,252.46x = 41,785,323.60
  5. Step 5: Solve for x
    x = 41,785,323.60/9,252.46
  6. Step 6: Final answer
    x = 4,516.13

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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.