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Finding the Fourth Proportional to 9,627.64, 14,452.98 and 5,733.88

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Solution

The fourth proportional to 9,627.64, 14,452.98 and 5,733.88 is: 8,607.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.64 : 14,452.98 = 5,733.88 : x
  2. Step 2: Convert to fraction form
    9,627.64/14,452.98 = 5,733.88/x
  3. Step 3: Cross multiply
    9,627.64x = 14,452.98 × 5,733.88
  4. Step 4: Simplify right side
    9,627.64x = 82,871,652.96
  5. Step 5: Solve for x
    x = 82,871,652.96/9,627.64
  6. Step 6: Final answer
    x = 8,607.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.