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Finding the Fourth Proportional to 9,627.10, 14,418.78 and 7,534.06

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Solution

The fourth proportional to 9,627.10, 14,418.78 and 7,534.06 is: 11,283.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.10 : 14,418.78 = 7,534.06 : x
  2. Step 2: Convert to fraction form
    9,627.10/14,418.78 = 7,534.06/x
  3. Step 3: Cross multiply
    9,627.10x = 14,418.78 × 7,534.06
  4. Step 4: Simplify right side
    9,627.10x = 108,631,953.65
  5. Step 5: Solve for x
    x = 108,631,953.65/9,627.10
  6. Step 6: Final answer
    x = 11,283.97

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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.