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Finding the Fourth Proportional to 9,546.08, 14,320.10 and 3,306.08

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Solution

The fourth proportional to 9,546.08, 14,320.10 and 3,306.08 is: 4,959.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546.08 : 14,320.10 = 3,306.08 : x
  2. Step 2: Convert to fraction form
    9,546.08/14,320.10 = 3,306.08/x
  3. Step 3: Cross multiply
    9,546.08x = 14,320.10 × 3,306.08
  4. Step 4: Simplify right side
    9,546.08x = 47,343,396.21
  5. Step 5: Solve for x
    x = 47,343,396.21/9,546.08
  6. Step 6: Final answer
    x = 4,959.46

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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.