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Finding the Fourth Proportional to 10,056.72, 15,107.22 and 9,745.68

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Solution

The fourth proportional to 10,056.72, 15,107.22 and 9,745.68 is: 14,639.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,056.72 : 15,107.22 = 9,745.68 : x
  2. Step 2: Convert to fraction form
    10,056.72/15,107.22 = 9,745.68/x
  3. Step 3: Cross multiply
    10,056.72x = 15,107.22 × 9,745.68
  4. Step 4: Simplify right side
    10,056.72x = 147,230,131.81
  5. Step 5: Solve for x
    x = 147,230,131.81/10,056.72
  6. Step 6: Final answer
    x = 14,639.98

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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.