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Finding the Fourth Proportional to 9,626.10, 14,451.30 and 5,187.30

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Solution

The fourth proportional to 9,626.10, 14,451.30 and 5,187.30 is: 7,787.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,626.10 : 14,451.30 = 5,187.30 : x
  2. Step 2: Convert to fraction form
    9,626.10/14,451.30 = 5,187.30/x
  3. Step 3: Cross multiply
    9,626.10x = 14,451.30 × 5,187.30
  4. Step 4: Simplify right side
    9,626.10x = 74,963,228.49
  5. Step 5: Solve for x
    x = 74,963,228.49/9,626.10
  6. Step 6: Final answer
    x = 7,787.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.