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Finding the Fourth Proportional to 9,151.44, 12,628.94 and 4,959.69

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Solution

The fourth proportional to 9,151.44, 12,628.94 and 4,959.69 is: 6,844.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.44 : 12,628.94 = 4,959.69 : x
  2. Step 2: Convert to fraction form
    9,151.44/12,628.94 = 4,959.69/x
  3. Step 3: Cross multiply
    9,151.44x = 12,628.94 × 4,959.69
  4. Step 4: Simplify right side
    9,151.44x = 62,635,602.63
  5. Step 5: Solve for x
    x = 62,635,602.63/9,151.44
  6. Step 6: Final answer
    x = 6,844.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.