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Finding the Fourth Proportional to 9,920.64, 14,881.02 and 3,346.88

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Solution

The fourth proportional to 9,920.64, 14,881.02 and 3,346.88 is: 5,020.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.64 : 14,881.02 = 3,346.88 : x
  2. Step 2: Convert to fraction form
    9,920.64/14,881.02 = 3,346.88/x
  3. Step 3: Cross multiply
    9,920.64x = 14,881.02 × 3,346.88
  4. Step 4: Simplify right side
    9,920.64x = 49,804,988.22
  5. Step 5: Solve for x
    x = 49,804,988.22/9,920.64
  6. Step 6: Final answer
    x = 5,020.34

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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.