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Finding the Fourth Proportional to 9,515.61, 14,271.12 and 3,668.49

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Solution

The fourth proportional to 9,515.61, 14,271.12 and 3,668.49 is: 5,501.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,515.61 : 14,271.12 = 3,668.49 : x
  2. Step 2: Convert to fraction form
    9,515.61/14,271.12 = 3,668.49/x
  3. Step 3: Cross multiply
    9,515.61x = 14,271.12 × 3,668.49
  4. Step 4: Simplify right side
    9,515.61x = 52,353,461.01
  5. Step 5: Solve for x
    x = 52,353,461.01/9,515.61
  6. Step 6: Final answer
    x = 5,501.85

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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.