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Finding the Fourth Proportional to 9,601.50, 14,407.92 and 4,054.49

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Solution

The fourth proportional to 9,601.50, 14,407.92 and 4,054.49 is: 6,084.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.50 : 14,407.92 = 4,054.49 : x
  2. Step 2: Convert to fraction form
    9,601.50/14,407.92 = 4,054.49/x
  3. Step 3: Cross multiply
    9,601.50x = 14,407.92 × 4,054.49
  4. Step 4: Simplify right side
    9,601.50x = 58,416,695.52
  5. Step 5: Solve for x
    x = 58,416,695.52/9,601.50
  6. Step 6: Final answer
    x = 6,084.12

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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.