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Finding the Fourth Proportional to 9,072.48, 13,498.95 and 8,846.49

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Solution

The fourth proportional to 9,072.48, 13,498.95 and 8,846.49 is: 13,162.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,072.48 : 13,498.95 = 8,846.49 : x
  2. Step 2: Convert to fraction form
    9,072.48/13,498.95 = 8,846.49/x
  3. Step 3: Cross multiply
    9,072.48x = 13,498.95 × 8,846.49
  4. Step 4: Simplify right side
    9,072.48x = 119,418,326.19
  5. Step 5: Solve for x
    x = 119,418,326.19/9,072.48
  6. Step 6: Final answer
    x = 13,162.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.