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Finding the Fourth Proportional to 9,617.40, 14,426.10 and 3,044.10

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Solution

The fourth proportional to 9,617.40, 14,426.10 and 3,044.10 is: 4,566.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.40 : 14,426.10 = 3,044.10 : x
  2. Step 2: Convert to fraction form
    9,617.40/14,426.10 = 3,044.10/x
  3. Step 3: Cross multiply
    9,617.40x = 14,426.10 × 3,044.10
  4. Step 4: Simplify right side
    9,617.40x = 43,914,491.01
  5. Step 5: Solve for x
    x = 43,914,491.01/9,617.40
  6. Step 6: Final answer
    x = 4,566.15

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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.