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Finding the Fourth Proportional to 9,129.42, 13,699.80 and 5,844.87

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Solution

The fourth proportional to 9,129.42, 13,699.80 and 5,844.87 is: 8,770.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.42 : 13,699.80 = 5,844.87 : x
  2. Step 2: Convert to fraction form
    9,129.42/13,699.80 = 5,844.87/x
  3. Step 3: Cross multiply
    9,129.42x = 13,699.80 × 5,844.87
  4. Step 4: Simplify right side
    9,129.42x = 80,073,501.16
  5. Step 5: Solve for x
    x = 80,073,501.16/9,129.42
  6. Step 6: Final answer
    x = 8,770.93

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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.