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Finding the Fourth Proportional to 9,330.95, 13,992.34 and 4,947.41

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Solution

The fourth proportional to 9,330.95, 13,992.34 and 4,947.41 is: 7,418.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,330.95 : 13,992.34 = 4,947.41 : x
  2. Step 2: Convert to fraction form
    9,330.95/13,992.34 = 4,947.41/x
  3. Step 3: Cross multiply
    9,330.95x = 13,992.34 × 4,947.41
  4. Step 4: Simplify right side
    9,330.95x = 69,225,748.14
  5. Step 5: Solve for x
    x = 69,225,748.14/9,330.95
  6. Step 6: Final answer
    x = 7,418.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.