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Finding the Fourth Proportional to 9,563.25, 14,344.31 and 4,296.90

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Solution

The fourth proportional to 9,563.25, 14,344.31 and 4,296.90 is: 6,445.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.25 : 14,344.31 = 4,296.90 : x
  2. Step 2: Convert to fraction form
    9,563.25/14,344.31 = 4,296.90/x
  3. Step 3: Cross multiply
    9,563.25x = 14,344.31 × 4,296.90
  4. Step 4: Simplify right side
    9,563.25x = 61,636,065.64
  5. Step 5: Solve for x
    x = 61,636,065.64/9,563.25
  6. Step 6: Final answer
    x = 6,445.10

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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.