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Finding the Fourth Proportional to 9,549, 14,330.76 and 3,702.36

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Solution

The fourth proportional to 9,549, 14,330.76 and 3,702.36 is: 5,556.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549 : 14,330.76 = 3,702.36 : x
  2. Step 2: Convert to fraction form
    9,549/14,330.76 = 3,702.36/x
  3. Step 3: Cross multiply
    9,549x = 14,330.76 × 3,702.36
  4. Step 4: Simplify right side
    9,549x = 53,057,632.59
  5. Step 5: Solve for x
    x = 53,057,632.59/9,549
  6. Step 6: Final answer
    x = 5,556.35

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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.