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Finding the Fourth Proportional to 9,026.74, 13,519.31 and 6,512.00

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Solution

The fourth proportional to 9,026.74, 13,519.31 and 6,512.00 is: 9,752.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,026.74 : 13,519.31 = 6,512.00 : x
  2. Step 2: Convert to fraction form
    9,026.74/13,519.31 = 6,512.00/x
  3. Step 3: Cross multiply
    9,026.74x = 13,519.31 × 6,512.00
  4. Step 4: Simplify right side
    9,026.74x = 88,037,646.56
  5. Step 5: Solve for x
    x = 88,037,646.56/9,026.74
  6. Step 6: Final answer
    x = 9,752.98

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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.