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Finding the Fourth Proportional to 9,600.08, 14,400.72 and 4,047.88

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Solution

The fourth proportional to 9,600.08, 14,400.72 and 4,047.88 is: 6,072.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.08 : 14,400.72 = 4,047.88 : x
  2. Step 2: Convert to fraction form
    9,600.08/14,400.72 = 4,047.88/x
  3. Step 3: Cross multiply
    9,600.08x = 14,400.72 × 4,047.88
  4. Step 4: Simplify right side
    9,600.08x = 58,292,386.47
  5. Step 5: Solve for x
    x = 58,292,386.47/9,600.08
  6. Step 6: Final answer
    x = 6,072.07

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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.