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Finding the Fourth Proportional to 9,624.77, 14,427.82 and 4,691.72

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Solution

The fourth proportional to 9,624.77, 14,427.82 and 4,691.72 is: 7,033.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.77 : 14,427.82 = 4,691.72 : x
  2. Step 2: Convert to fraction form
    9,624.77/14,427.82 = 4,691.72/x
  3. Step 3: Cross multiply
    9,624.77x = 14,427.82 × 4,691.72
  4. Step 4: Simplify right side
    9,624.77x = 67,691,333.58
  5. Step 5: Solve for x
    x = 67,691,333.58/9,624.77
  6. Step 6: Final answer
    x = 7,033.03

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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.