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Finding the Fourth Proportional to 9,722.32, 14,584.13 and 3,878.88

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Solution

The fourth proportional to 9,722.32, 14,584.13 and 3,878.88 is: 5,818.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.32 : 14,584.13 = 3,878.88 : x
  2. Step 2: Convert to fraction form
    9,722.32/14,584.13 = 3,878.88/x
  3. Step 3: Cross multiply
    9,722.32x = 14,584.13 × 3,878.88
  4. Step 4: Simplify right side
    9,722.32x = 56,570,090.17
  5. Step 5: Solve for x
    x = 56,570,090.17/9,722.32
  6. Step 6: Final answer
    x = 5,818.58

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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.