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Finding the Fourth Proportional to 9,563.95, 14,333.77 and 5,406.29

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Solution

The fourth proportional to 9,563.95, 14,333.77 and 5,406.29 is: 8,102.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.95 : 14,333.77 = 5,406.29 : x
  2. Step 2: Convert to fraction form
    9,563.95/14,333.77 = 5,406.29/x
  3. Step 3: Cross multiply
    9,563.95x = 14,333.77 × 5,406.29
  4. Step 4: Simplify right side
    9,563.95x = 77,492,506.25
  5. Step 5: Solve for x
    x = 77,492,506.25/9,563.95
  6. Step 6: Final answer
    x = 8,102.56

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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.