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Finding the Fourth Proportional to 10,423.52, 14,352 and 9,846.08

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Solution

The fourth proportional to 10,423.52, 14,352 and 9,846.08 is: 13,556.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.52 : 14,352 = 9,846.08 : x
  2. Step 2: Convert to fraction form
    10,423.52/14,352 = 9,846.08/x
  3. Step 3: Cross multiply
    10,423.52x = 14,352 × 9,846.08
  4. Step 4: Simplify right side
    10,423.52x = 141,310,940.16
  5. Step 5: Solve for x
    x = 141,310,940.16/10,423.52
  6. Step 6: Final answer
    x = 13,556.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.