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Finding the Fourth Proportional to 9,604.66, 14,394.56 and 4,920.80

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Solution

The fourth proportional to 9,604.66, 14,394.56 and 4,920.80 is: 7,374.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.66 : 14,394.56 = 4,920.80 : x
  2. Step 2: Convert to fraction form
    9,604.66/14,394.56 = 4,920.80/x
  3. Step 3: Cross multiply
    9,604.66x = 14,394.56 × 4,920.80
  4. Step 4: Simplify right side
    9,604.66x = 70,832,750.85
  5. Step 5: Solve for x
    x = 70,832,750.85/9,604.66
  6. Step 6: Final answer
    x = 7,374.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.