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Finding the Fourth Proportional to 9,599.25, 14,389.01 and 3,674.75

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Solution

The fourth proportional to 9,599.25, 14,389.01 and 3,674.75 is: 5,508.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,599.25 : 14,389.01 = 3,674.75 : x
  2. Step 2: Convert to fraction form
    9,599.25/14,389.01 = 3,674.75/x
  3. Step 3: Cross multiply
    9,599.25x = 14,389.01 × 3,674.75
  4. Step 4: Simplify right side
    9,599.25x = 52,876,014.50
  5. Step 5: Solve for x
    x = 52,876,014.50/9,599.25
  6. Step 6: Final answer
    x = 5,508.35

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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.