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Finding the Fourth Proportional to 9,821.64, 14,735.16 and 4,552.32

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Solution

The fourth proportional to 9,821.64, 14,735.16 and 4,552.32 is: 6,829.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821.64 : 14,735.16 = 4,552.32 : x
  2. Step 2: Convert to fraction form
    9,821.64/14,735.16 = 4,552.32/x
  3. Step 3: Cross multiply
    9,821.64x = 14,735.16 × 4,552.32
  4. Step 4: Simplify right side
    9,821.64x = 67,079,163.57
  5. Step 5: Solve for x
    x = 67,079,163.57/9,821.64
  6. Step 6: Final answer
    x = 6,829.73

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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.