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Finding the Fourth Proportional to 9,603.13, 14,404.70 and 3,029.98

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Solution

The fourth proportional to 9,603.13, 14,404.70 and 3,029.98 is: 4,544.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.13 : 14,404.70 = 3,029.98 : x
  2. Step 2: Convert to fraction form
    9,603.13/14,404.70 = 3,029.98/x
  3. Step 3: Cross multiply
    9,603.13x = 14,404.70 × 3,029.98
  4. Step 4: Simplify right side
    9,603.13x = 43,645,952.91
  5. Step 5: Solve for x
    x = 43,645,952.91/9,603.13
  6. Step 6: Final answer
    x = 4,544.97

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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.