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Finding the Fourth Proportional to 9,751.20, 14,626.80 and 8,001.60

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Solution

The fourth proportional to 9,751.20, 14,626.80 and 8,001.60 is: 12,002.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.20 : 14,626.80 = 8,001.60 : x
  2. Step 2: Convert to fraction form
    9,751.20/14,626.80 = 8,001.60/x
  3. Step 3: Cross multiply
    9,751.20x = 14,626.80 × 8,001.60
  4. Step 4: Simplify right side
    9,751.20x = 117,037,802.88
  5. Step 5: Solve for x
    x = 117,037,802.88/9,751.20
  6. Step 6: Final answer
    x = 12,002.40

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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.