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Finding the Fourth Proportional to 9,625.76, 13,284.76 and 5,434.88

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Solution

The fourth proportional to 9,625.76, 13,284.76 and 5,434.88 is: 7,500.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625.76 : 13,284.76 = 5,434.88 : x
  2. Step 2: Convert to fraction form
    9,625.76/13,284.76 = 5,434.88/x
  3. Step 3: Cross multiply
    9,625.76x = 13,284.76 × 5,434.88
  4. Step 4: Simplify right side
    9,625.76x = 72,201,076.43
  5. Step 5: Solve for x
    x = 72,201,076.43/9,625.76
  6. Step 6: Final answer
    x = 7,500.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.