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Finding the Fourth Proportional to 9,617.54, 14,428.13 and 3,043.17

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Solution

The fourth proportional to 9,617.54, 14,428.13 and 3,043.17 is: 4,565.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.54 : 14,428.13 = 3,043.17 : x
  2. Step 2: Convert to fraction form
    9,617.54/14,428.13 = 3,043.17/x
  3. Step 3: Cross multiply
    9,617.54x = 14,428.13 × 3,043.17
  4. Step 4: Simplify right side
    9,617.54x = 43,907,237.16
  5. Step 5: Solve for x
    x = 43,907,237.16/9,617.54
  6. Step 6: Final answer
    x = 4,565.33

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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.