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Finding the Fourth Proportional to 6,411.64, 9,622.90 and 2,518.76

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Solution

The fourth proportional to 6,411.64, 9,622.90 and 2,518.76 is: 3,780.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.64 : 9,622.90 = 2,518.76 : x
  2. Step 2: Convert to fraction form
    6,411.64/9,622.90 = 2,518.76/x
  3. Step 3: Cross multiply
    6,411.64x = 9,622.90 × 2,518.76
  4. Step 4: Simplify right side
    6,411.64x = 24,237,775.60
  5. Step 5: Solve for x
    x = 24,237,775.60/6,411.64
  6. Step 6: Final answer
    x = 3,780.28

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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.