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Finding the Fourth Proportional to 9,668.30, 14,503.80 and 4,121.60

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Solution

The fourth proportional to 9,668.30, 14,503.80 and 4,121.60 is: 6,182.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.30 : 14,503.80 = 4,121.60 : x
  2. Step 2: Convert to fraction form
    9,668.30/14,503.80 = 4,121.60/x
  3. Step 3: Cross multiply
    9,668.30x = 14,503.80 × 4,121.60
  4. Step 4: Simplify right side
    9,668.30x = 59,778,862.08
  5. Step 5: Solve for x
    x = 59,778,862.08/9,668.30
  6. Step 6: Final answer
    x = 6,182.98

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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.