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Finding the Fourth Proportional to 9,599.76, 14,389.76 and 3,675.25

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Solution

The fourth proportional to 9,599.76, 14,389.76 and 3,675.25 is: 5,509.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,599.76 : 14,389.76 = 3,675.25 : x
  2. Step 2: Convert to fraction form
    9,599.76/14,389.76 = 3,675.25/x
  3. Step 3: Cross multiply
    9,599.76x = 14,389.76 × 3,675.25
  4. Step 4: Simplify right side
    9,599.76x = 52,885,965.44
  5. Step 5: Solve for x
    x = 52,885,965.44/9,599.76
  6. Step 6: Final answer
    x = 5,509.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.