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Finding the Fourth Proportional to 9,563.93, 14,329.69 and 5,858.42

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Solution

The fourth proportional to 9,563.93, 14,329.69 and 5,858.42 is: 8,777.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.93 : 14,329.69 = 5,858.42 : x
  2. Step 2: Convert to fraction form
    9,563.93/14,329.69 = 5,858.42/x
  3. Step 3: Cross multiply
    9,563.93x = 14,329.69 × 5,858.42
  4. Step 4: Simplify right side
    9,563.93x = 83,949,342.49
  5. Step 5: Solve for x
    x = 83,949,342.49/9,563.93
  6. Step 6: Final answer
    x = 8,777.70

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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.