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Finding the Fourth Proportional to 9,372.54, 14,047.80 and 5,211.54

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Solution

The fourth proportional to 9,372.54, 14,047.80 and 5,211.54 is: 7,811.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,372.54 : 14,047.80 = 5,211.54 : x
  2. Step 2: Convert to fraction form
    9,372.54/14,047.80 = 5,211.54/x
  3. Step 3: Cross multiply
    9,372.54x = 14,047.80 × 5,211.54
  4. Step 4: Simplify right side
    9,372.54x = 73,210,671.61
  5. Step 5: Solve for x
    x = 73,210,671.61/9,372.54
  6. Step 6: Final answer
    x = 7,811.19

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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.