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Finding the Fourth Proportional to 9,689.81, 14,533.34 and 3,115.14

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Solution

The fourth proportional to 9,689.81, 14,533.34 and 3,115.14 is: 4,672.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.81 : 14,533.34 = 3,115.14 : x
  2. Step 2: Convert to fraction form
    9,689.81/14,533.34 = 3,115.14/x
  3. Step 3: Cross multiply
    9,689.81x = 14,533.34 × 3,115.14
  4. Step 4: Simplify right side
    9,689.81x = 45,273,300.53
  5. Step 5: Solve for x
    x = 45,273,300.53/9,689.81
  6. Step 6: Final answer
    x = 4,672.26

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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.