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Finding the Fourth Proportional to 9,288.51, 13,932.60 and 3,741.71

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Solution

The fourth proportional to 9,288.51, 13,932.60 and 3,741.71 is: 5,612.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288.51 : 13,932.60 = 3,741.71 : x
  2. Step 2: Convert to fraction form
    9,288.51/13,932.60 = 3,741.71/x
  3. Step 3: Cross multiply
    9,288.51x = 13,932.60 × 3,741.71
  4. Step 4: Simplify right side
    9,288.51x = 52,131,748.75
  5. Step 5: Solve for x
    x = 52,131,748.75/9,288.51
  6. Step 6: Final answer
    x = 5,612.50

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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.