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Finding the Fourth Proportional to 9,516.08, 14,276.08 and 2,941.92

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Solution

The fourth proportional to 9,516.08, 14,276.08 and 2,941.92 is: 4,413.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,516.08 : 14,276.08 = 2,941.92 : x
  2. Step 2: Convert to fraction form
    9,516.08/14,276.08 = 2,941.92/x
  3. Step 3: Cross multiply
    9,516.08x = 14,276.08 × 2,941.92
  4. Step 4: Simplify right side
    9,516.08x = 41,999,085.27
  5. Step 5: Solve for x
    x = 41,999,085.27/9,516.08
  6. Step 6: Final answer
    x = 4,413.49

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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.