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Finding the Fourth Proportional to 9,687.12, 14,533.05 and 3,113.94

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Solution

The fourth proportional to 9,687.12, 14,533.05 and 3,113.94 is: 4,671.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.12 : 14,533.05 = 3,113.94 : x
  2. Step 2: Convert to fraction form
    9,687.12/14,533.05 = 3,113.94/x
  3. Step 3: Cross multiply
    9,687.12x = 14,533.05 × 3,113.94
  4. Step 4: Simplify right side
    9,687.12x = 45,255,045.72
  5. Step 5: Solve for x
    x = 45,255,045.72/9,687.12
  6. Step 6: Final answer
    x = 4,671.67

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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.