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Finding the Fourth Proportional to 6,411.32, 9,620.82 and 2,307.64

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Solution

The fourth proportional to 6,411.32, 9,620.82 and 2,307.64 is: 3,462.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.32 : 9,620.82 = 2,307.64 : x
  2. Step 2: Convert to fraction form
    6,411.32/9,620.82 = 2,307.64/x
  3. Step 3: Cross multiply
    6,411.32x = 9,620.82 × 2,307.64
  4. Step 4: Simplify right side
    6,411.32x = 22,201,389.06
  5. Step 5: Solve for x
    x = 22,201,389.06/6,411.32
  6. Step 6: Final answer
    x = 3,462.84

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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.