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Finding the Fourth Proportional to 6,551.64, 9,825.84 and 4,209.12

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Solution

The fourth proportional to 6,551.64, 9,825.84 and 4,209.12 is: 6,312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.64 : 9,825.84 = 4,209.12 : x
  2. Step 2: Convert to fraction form
    6,551.64/9,825.84 = 4,209.12/x
  3. Step 3: Cross multiply
    6,551.64x = 9,825.84 × 4,209.12
  4. Step 4: Simplify right side
    6,551.64x = 41,358,139.66
  5. Step 5: Solve for x
    x = 41,358,139.66/6,551.64
  6. Step 6: Final answer
    x = 6,312.64

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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.