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Finding the Fourth Proportional to 9,536.64, 14,307.84 and 5,372.16

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Solution

The fourth proportional to 9,536.64, 14,307.84 and 5,372.16 is: 8,059.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536.64 : 14,307.84 = 5,372.16 : x
  2. Step 2: Convert to fraction form
    9,536.64/14,307.84 = 5,372.16/x
  3. Step 3: Cross multiply
    9,536.64x = 14,307.84 × 5,372.16
  4. Step 4: Simplify right side
    9,536.64x = 76,864,005.73
  5. Step 5: Solve for x
    x = 76,864,005.73/9,536.64
  6. Step 6: Final answer
    x = 8,059.86

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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.