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Finding the Fourth Proportional to 9,254.17, 13,882 and 3,012.51

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Solution

The fourth proportional to 9,254.17, 13,882 and 3,012.51 is: 4,519.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,254.17 : 13,882 = 3,012.51 : x
  2. Step 2: Convert to fraction form
    9,254.17/13,882 = 3,012.51/x
  3. Step 3: Cross multiply
    9,254.17x = 13,882 × 3,012.51
  4. Step 4: Simplify right side
    9,254.17x = 41,819,663.82
  5. Step 5: Solve for x
    x = 41,819,663.82/9,254.17
  6. Step 6: Final answer
    x = 4,519.01

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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.