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Finding the Fourth Proportional to 9,508.30, 14,264.15 and 3,266.70

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Solution

The fourth proportional to 9,508.30, 14,264.15 and 3,266.70 is: 4,900.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.30 : 14,264.15 = 3,266.70 : x
  2. Step 2: Convert to fraction form
    9,508.30/14,264.15 = 3,266.70/x
  3. Step 3: Cross multiply
    9,508.30x = 14,264.15 × 3,266.70
  4. Step 4: Simplify right side
    9,508.30x = 46,596,698.81
  5. Step 5: Solve for x
    x = 46,596,698.81/9,508.30
  6. Step 6: Final answer
    x = 4,900.63

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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.