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Finding the Fourth Proportional to 9,752.40, 14,624.65 and 3,747.60

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Solution

The fourth proportional to 9,752.40, 14,624.65 and 3,747.60 is: 5,619.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.40 : 14,624.65 = 3,747.60 : x
  2. Step 2: Convert to fraction form
    9,752.40/14,624.65 = 3,747.60/x
  3. Step 3: Cross multiply
    9,752.40x = 14,624.65 × 3,747.60
  4. Step 4: Simplify right side
    9,752.40x = 54,807,343.02
  5. Step 5: Solve for x
    x = 54,807,343.02/9,752.40
  6. Step 6: Final answer
    x = 5,619.88

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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.