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Finding the Fourth Proportional to 9,093.49, 12,572.03 and 7,985.95

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Solution

The fourth proportional to 9,093.49, 12,572.03 and 7,985.95 is: 11,040.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,093.49 : 12,572.03 = 7,985.95 : x
  2. Step 2: Convert to fraction form
    9,093.49/12,572.03 = 7,985.95/x
  3. Step 3: Cross multiply
    9,093.49x = 12,572.03 × 7,985.95
  4. Step 4: Simplify right side
    9,093.49x = 100,399,602.98
  5. Step 5: Solve for x
    x = 100,399,602.98/9,093.49
  6. Step 6: Final answer
    x = 11,040.82

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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.