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Finding the Fourth Proportional to 9,624.40, 14,425.80 and 4,942.60

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Solution

The fourth proportional to 9,624.40, 14,425.80 and 4,942.60 is: 7,408.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.40 : 14,425.80 = 4,942.60 : x
  2. Step 2: Convert to fraction form
    9,624.40/14,425.80 = 4,942.60/x
  3. Step 3: Cross multiply
    9,624.40x = 14,425.80 × 4,942.60
  4. Step 4: Simplify right side
    9,624.40x = 71,300,959.08
  5. Step 5: Solve for x
    x = 71,300,959.08/9,624.40
  6. Step 6: Final answer
    x = 7,408.35

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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.