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Finding the Fourth Proportional to 9,391.50, 14,087.16 and 8,924.34

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Solution

The fourth proportional to 9,391.50, 14,087.16 and 8,924.34 is: 13,386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,391.50 : 14,087.16 = 8,924.34 : x
  2. Step 2: Convert to fraction form
    9,391.50/14,087.16 = 8,924.34/x
  3. Step 3: Cross multiply
    9,391.50x = 14,087.16 × 8,924.34
  4. Step 4: Simplify right side
    9,391.50x = 125,718,605.47
  5. Step 5: Solve for x
    x = 125,718,605.47/9,391.50
  6. Step 6: Final answer
    x = 13,386.42

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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.