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Finding the Fourth Proportional to 9,357.49, 14,046.35 and 8,324.11

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Solution

The fourth proportional to 9,357.49, 14,046.35 and 8,324.11 is: 12,495.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.49 : 14,046.35 = 8,324.11 : x
  2. Step 2: Convert to fraction form
    9,357.49/14,046.35 = 8,324.11/x
  3. Step 3: Cross multiply
    9,357.49x = 14,046.35 × 8,324.11
  4. Step 4: Simplify right side
    9,357.49x = 116,923,362.50
  5. Step 5: Solve for x
    x = 116,923,362.50/9,357.49
  6. Step 6: Final answer
    x = 12,495.16

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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.