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Finding the Fourth Proportional to 9,288.72, 13,941.48 and 8,300.04

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Solution

The fourth proportional to 9,288.72, 13,941.48 and 8,300.04 is: 12,457.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288.72 : 13,941.48 = 8,300.04 : x
  2. Step 2: Convert to fraction form
    9,288.72/13,941.48 = 8,300.04/x
  3. Step 3: Cross multiply
    9,288.72x = 13,941.48 × 8,300.04
  4. Step 4: Simplify right side
    9,288.72x = 115,714,841.66
  5. Step 5: Solve for x
    x = 115,714,841.66/9,288.72
  6. Step 6: Final answer
    x = 12,457.57

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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.