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Finding the Fourth Proportional to 9,603.72, 14,383.98 and 7,142.76

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Solution

The fourth proportional to 9,603.72, 14,383.98 and 7,142.76 is: 10,698.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.72 : 14,383.98 = 7,142.76 : x
  2. Step 2: Convert to fraction form
    9,603.72/14,383.98 = 7,142.76/x
  3. Step 3: Cross multiply
    9,603.72x = 14,383.98 × 7,142.76
  4. Step 4: Simplify right side
    9,603.72x = 102,741,316.98
  5. Step 5: Solve for x
    x = 102,741,316.98/9,603.72
  6. Step 6: Final answer
    x = 10,698.08

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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.