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Finding the Fourth Proportional to 9,894.76, 14,842.20 and 2,969.32

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Solution

The fourth proportional to 9,894.76, 14,842.20 and 2,969.32 is: 4,454.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.76 : 14,842.20 = 2,969.32 : x
  2. Step 2: Convert to fraction form
    9,894.76/14,842.20 = 2,969.32/x
  3. Step 3: Cross multiply
    9,894.76x = 14,842.20 × 2,969.32
  4. Step 4: Simplify right side
    9,894.76x = 44,071,241.30
  5. Step 5: Solve for x
    x = 44,071,241.30/9,894.76
  6. Step 6: Final answer
    x = 4,454.00

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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.