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Finding the Fourth Proportional to 9,352.31, 14,028.35 and 5,409.50

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Solution

The fourth proportional to 9,352.31, 14,028.35 and 5,409.50 is: 8,114.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.31 : 14,028.35 = 5,409.50 : x
  2. Step 2: Convert to fraction form
    9,352.31/14,028.35 = 5,409.50/x
  3. Step 3: Cross multiply
    9,352.31x = 14,028.35 × 5,409.50
  4. Step 4: Simplify right side
    9,352.31x = 75,886,262.14
  5. Step 5: Solve for x
    x = 75,886,262.14/9,352.31
  6. Step 6: Final answer
    x = 8,114.18

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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.