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Finding the Fourth Proportional to 9,232.50, 13,842.16 and 4,299.46

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Solution

The fourth proportional to 9,232.50, 13,842.16 and 4,299.46 is: 6,446.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.50 : 13,842.16 = 4,299.46 : x
  2. Step 2: Convert to fraction form
    9,232.50/13,842.16 = 4,299.46/x
  3. Step 3: Cross multiply
    9,232.50x = 13,842.16 × 4,299.46
  4. Step 4: Simplify right side
    9,232.50x = 59,513,813.23
  5. Step 5: Solve for x
    x = 59,513,813.23/9,232.50
  6. Step 6: Final answer
    x = 6,446.12

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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.