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Finding the Fourth Proportional to 9,708.84, 14,551.10 and 4,155.64

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Solution

The fourth proportional to 9,708.84, 14,551.10 and 4,155.64 is: 6,228.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.84 : 14,551.10 = 4,155.64 : x
  2. Step 2: Convert to fraction form
    9,708.84/14,551.10 = 4,155.64/x
  3. Step 3: Cross multiply
    9,708.84x = 14,551.10 × 4,155.64
  4. Step 4: Simplify right side
    9,708.84x = 60,469,133.20
  5. Step 5: Solve for x
    x = 60,469,133.20/9,708.84
  6. Step 6: Final answer
    x = 6,228.26

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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.