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Finding the Fourth Proportional to 9,810.25, 14,721.99 and 3,654.25

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Solution

The fourth proportional to 9,810.25, 14,721.99 and 3,654.25 is: 5,483.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.25 : 14,721.99 = 3,654.25 : x
  2. Step 2: Convert to fraction form
    9,810.25/14,721.99 = 3,654.25/x
  3. Step 3: Cross multiply
    9,810.25x = 14,721.99 × 3,654.25
  4. Step 4: Simplify right side
    9,810.25x = 53,797,831.96
  5. Step 5: Solve for x
    x = 53,797,831.96/9,810.25
  6. Step 6: Final answer
    x = 5,483.84

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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.