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Finding the Fourth Proportional to 9,326.63, 13,991.57 and 4,709.63

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Solution

The fourth proportional to 9,326.63, 13,991.57 and 4,709.63 is: 7,065.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,326.63 : 13,991.57 = 4,709.63 : x
  2. Step 2: Convert to fraction form
    9,326.63/13,991.57 = 4,709.63/x
  3. Step 3: Cross multiply
    9,326.63x = 13,991.57 × 4,709.63
  4. Step 4: Simplify right side
    9,326.63x = 65,895,024.31
  5. Step 5: Solve for x
    x = 65,895,024.31/9,326.63
  6. Step 6: Final answer
    x = 7,065.26

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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.