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Finding the Fourth Proportional to 9,602.24, 14,403.36 and 3,028.94

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Solution

The fourth proportional to 9,602.24, 14,403.36 and 3,028.94 is: 4,543.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.24 : 14,403.36 = 3,028.94 : x
  2. Step 2: Convert to fraction form
    9,602.24/14,403.36 = 3,028.94/x
  3. Step 3: Cross multiply
    9,602.24x = 14,403.36 × 3,028.94
  4. Step 4: Simplify right side
    9,602.24x = 43,626,913.24
  5. Step 5: Solve for x
    x = 43,626,913.24/9,602.24
  6. Step 6: Final answer
    x = 4,543.41

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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.