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Finding the Fourth Proportional to 9,729.41, 14,595.15 and 2,709.44

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Solution

The fourth proportional to 9,729.41, 14,595.15 and 2,709.44 is: 4,064.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.41 : 14,595.15 = 2,709.44 : x
  2. Step 2: Convert to fraction form
    9,729.41/14,595.15 = 2,709.44/x
  3. Step 3: Cross multiply
    9,729.41x = 14,595.15 × 2,709.44
  4. Step 4: Simplify right side
    9,729.41x = 39,544,683.22
  5. Step 5: Solve for x
    x = 39,544,683.22/9,729.41
  6. Step 6: Final answer
    x = 4,064.45

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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.