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Finding the Fourth Proportional to 9,126.30, 13,689.47 and 2,552.47

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Solution

The fourth proportional to 9,126.30, 13,689.47 and 2,552.47 is: 3,828.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,126.30 : 13,689.47 = 2,552.47 : x
  2. Step 2: Convert to fraction form
    9,126.30/13,689.47 = 2,552.47/x
  3. Step 3: Cross multiply
    9,126.30x = 13,689.47 × 2,552.47
  4. Step 4: Simplify right side
    9,126.30x = 34,941,961.49
  5. Step 5: Solve for x
    x = 34,941,961.49/9,126.30
  6. Step 6: Final answer
    x = 3,828.71

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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.