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Finding the Fourth Proportional to 9,446.64, 14,164.56 and 2,870.88

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Solution

The fourth proportional to 9,446.64, 14,164.56 and 2,870.88 is: 4,304.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.64 : 14,164.56 = 2,870.88 : x
  2. Step 2: Convert to fraction form
    9,446.64/14,164.56 = 2,870.88/x
  3. Step 3: Cross multiply
    9,446.64x = 14,164.56 × 2,870.88
  4. Step 4: Simplify right side
    9,446.64x = 40,664,752.01
  5. Step 5: Solve for x
    x = 40,664,752.01/9,446.64
  6. Step 6: Final answer
    x = 4,304.68

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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.