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Finding the Fourth Proportional to 9,932.58, 13,709.22 and 6,575.52

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Solution

The fourth proportional to 9,932.58, 13,709.22 and 6,575.52 is: 9,075.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.58 : 13,709.22 = 6,575.52 : x
  2. Step 2: Convert to fraction form
    9,932.58/13,709.22 = 6,575.52/x
  3. Step 3: Cross multiply
    9,932.58x = 13,709.22 × 6,575.52
  4. Step 4: Simplify right side
    9,932.58x = 90,145,250.29
  5. Step 5: Solve for x
    x = 90,145,250.29/9,932.58
  6. Step 6: Final answer
    x = 9,075.71

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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.