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Finding the Fourth Proportional to 9,112.74, 12,574.06 and 5,078.69

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Solution

The fourth proportional to 9,112.74, 12,574.06 and 5,078.69 is: 7,007.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,112.74 : 12,574.06 = 5,078.69 : x
  2. Step 2: Convert to fraction form
    9,112.74/12,574.06 = 5,078.69/x
  3. Step 3: Cross multiply
    9,112.74x = 12,574.06 × 5,078.69
  4. Step 4: Simplify right side
    9,112.74x = 63,859,664.52
  5. Step 5: Solve for x
    x = 63,859,664.52/9,112.74
  6. Step 6: Final answer
    x = 7,007.74

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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.