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Finding the Fourth Proportional to 9,744.16, 14,616 and 3,420.28

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Solution

The fourth proportional to 9,744.16, 14,616 and 3,420.28 is: 5,130.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.16 : 14,616 = 3,420.28 : x
  2. Step 2: Convert to fraction form
    9,744.16/14,616 = 3,420.28/x
  3. Step 3: Cross multiply
    9,744.16x = 14,616 × 3,420.28
  4. Step 4: Simplify right side
    9,744.16x = 49,990,812.48
  5. Step 5: Solve for x
    x = 49,990,812.48/9,744.16
  6. Step 6: Final answer
    x = 5,130.34

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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.