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Finding the Fourth Proportional to 6,114.64, 9,172.08 and 2,416

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Solution

The fourth proportional to 6,114.64, 9,172.08 and 2,416 is: 3,624.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.64 : 9,172.08 = 2,416 : x
  2. Step 2: Convert to fraction form
    6,114.64/9,172.08 = 2,416/x
  3. Step 3: Cross multiply
    6,114.64x = 9,172.08 × 2,416
  4. Step 4: Simplify right side
    6,114.64x = 22,159,745.28
  5. Step 5: Solve for x
    x = 22,159,745.28/6,114.64
  6. Step 6: Final answer
    x = 3,624.05

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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.