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Finding the Fourth Proportional to 9,458.92, 14,188.92 and 2,885.56

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Solution

The fourth proportional to 9,458.92, 14,188.92 and 2,885.56 is: 4,328.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458.92 : 14,188.92 = 2,885.56 : x
  2. Step 2: Convert to fraction form
    9,458.92/14,188.92 = 2,885.56/x
  3. Step 3: Cross multiply
    9,458.92x = 14,188.92 × 2,885.56
  4. Step 4: Simplify right side
    9,458.92x = 40,942,980.00
  5. Step 5: Solve for x
    x = 40,942,980.00/9,458.92
  6. Step 6: Final answer
    x = 4,328.50

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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.