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Finding the Fourth Proportional to 9,374.54, 14,050.80 and 5,213.54

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Solution

The fourth proportional to 9,374.54, 14,050.80 and 5,213.54 is: 7,814.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.54 : 14,050.80 = 5,213.54 : x
  2. Step 2: Convert to fraction form
    9,374.54/14,050.80 = 5,213.54/x
  3. Step 3: Cross multiply
    9,374.54x = 14,050.80 × 5,213.54
  4. Step 4: Simplify right side
    9,374.54x = 73,254,407.83
  5. Step 5: Solve for x
    x = 73,254,407.83/9,374.54
  6. Step 6: Final answer
    x = 7,814.19

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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.