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Finding the Fourth Proportional to 9,602.70, 14,404.05 and 3,029.40

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Solution

The fourth proportional to 9,602.70, 14,404.05 and 3,029.40 is: 4,544.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.70 : 14,404.05 = 3,029.40 : x
  2. Step 2: Convert to fraction form
    9,602.70/14,404.05 = 3,029.40/x
  3. Step 3: Cross multiply
    9,602.70x = 14,404.05 × 3,029.40
  4. Step 4: Simplify right side
    9,602.70x = 43,635,541.90
  5. Step 5: Solve for x
    x = 43,635,541.90/9,602.70
  6. Step 6: Final answer
    x = 4,544.09

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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.