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Finding the Fourth Proportional to 9,539.64, 14,307.17 and 3,299.87

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Solution

The fourth proportional to 9,539.64, 14,307.17 and 3,299.87 is: 4,949.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.64 : 14,307.17 = 3,299.87 : x
  2. Step 2: Convert to fraction form
    9,539.64/14,307.17 = 3,299.87/x
  3. Step 3: Cross multiply
    9,539.64x = 14,307.17 × 3,299.87
  4. Step 4: Simplify right side
    9,539.64x = 47,211,820.34
  5. Step 5: Solve for x
    x = 47,211,820.34/9,539.64
  6. Step 6: Final answer
    x = 4,949.01

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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.