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Finding the Fourth Proportional to 9,980.92, 14,973 and 3,743.16

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Solution

The fourth proportional to 9,980.92, 14,973 and 3,743.16 is: 5,615.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.92 : 14,973 = 3,743.16 : x
  2. Step 2: Convert to fraction form
    9,980.92/14,973 = 3,743.16/x
  3. Step 3: Cross multiply
    9,980.92x = 14,973 × 3,743.16
  4. Step 4: Simplify right side
    9,980.92x = 56,046,334.68
  5. Step 5: Solve for x
    x = 56,046,334.68/9,980.92
  6. Step 6: Final answer
    x = 5,615.35

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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.