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Finding the Fourth Proportional to 9,575.80, 14,364.02 and 2,649.72

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Solution

The fourth proportional to 9,575.80, 14,364.02 and 2,649.72 is: 3,974.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575.80 : 14,364.02 = 2,649.72 : x
  2. Step 2: Convert to fraction form
    9,575.80/14,364.02 = 2,649.72/x
  3. Step 3: Cross multiply
    9,575.80x = 14,364.02 × 2,649.72
  4. Step 4: Simplify right side
    9,575.80x = 38,060,631.07
  5. Step 5: Solve for x
    x = 38,060,631.07/9,575.80
  6. Step 6: Final answer
    x = 3,974.67

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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.