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Finding the Fourth Proportional to 9,635.90, 14,453.88 and 2,972.30

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Solution

The fourth proportional to 9,635.90, 14,453.88 and 2,972.30 is: 4,458.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.90 : 14,453.88 = 2,972.30 : x
  2. Step 2: Convert to fraction form
    9,635.90/14,453.88 = 2,972.30/x
  3. Step 3: Cross multiply
    9,635.90x = 14,453.88 × 2,972.30
  4. Step 4: Simplify right side
    9,635.90x = 42,961,267.52
  5. Step 5: Solve for x
    x = 42,961,267.52/9,635.90
  6. Step 6: Final answer
    x = 4,458.46

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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.