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Finding the Fourth Proportional to 9,894.80, 14,842.16 and 2,969.28

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Solution

The fourth proportional to 9,894.80, 14,842.16 and 2,969.28 is: 4,453.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.80 : 14,842.16 = 2,969.28 : x
  2. Step 2: Convert to fraction form
    9,894.80/14,842.16 = 2,969.28/x
  3. Step 3: Cross multiply
    9,894.80x = 14,842.16 × 2,969.28
  4. Step 4: Simplify right side
    9,894.80x = 44,070,528.84
  5. Step 5: Solve for x
    x = 44,070,528.84/9,894.80
  6. Step 6: Final answer
    x = 4,453.91

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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.