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Finding the Fourth Proportional to 9,689.02, 14,532.13 and 3,114.36

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Solution

The fourth proportional to 9,689.02, 14,532.13 and 3,114.36 is: 4,671.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.02 : 14,532.13 = 3,114.36 : x
  2. Step 2: Convert to fraction form
    9,689.02/14,532.13 = 3,114.36/x
  3. Step 3: Cross multiply
    9,689.02x = 14,532.13 × 3,114.36
  4. Step 4: Simplify right side
    9,689.02x = 45,258,284.39
  5. Step 5: Solve for x
    x = 45,258,284.39/9,689.02
  6. Step 6: Final answer
    x = 4,671.09

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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.