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Finding the Fourth Proportional to 9,178.06, 12,671.81 and 7,049.78

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Solution

The fourth proportional to 9,178.06, 12,671.81 and 7,049.78 is: 9,733.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.06 : 12,671.81 = 7,049.78 : x
  2. Step 2: Convert to fraction form
    9,178.06/12,671.81 = 7,049.78/x
  3. Step 3: Cross multiply
    9,178.06x = 12,671.81 × 7,049.78
  4. Step 4: Simplify right side
    9,178.06x = 89,333,495.61
  5. Step 5: Solve for x
    x = 89,333,495.61/9,178.06
  6. Step 6: Final answer
    x = 9,733.38

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Why These Related Problems?

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