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Finding the Fourth Proportional to 9,024.69, 13,535.64 and 3,480.63

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Solution

The fourth proportional to 9,024.69, 13,535.64 and 3,480.63 is: 5,220.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,024.69 : 13,535.64 = 3,480.63 : x
  2. Step 2: Convert to fraction form
    9,024.69/13,535.64 = 3,480.63/x
  3. Step 3: Cross multiply
    9,024.69x = 13,535.64 × 3,480.63
  4. Step 4: Simplify right side
    9,024.69x = 47,112,554.65
  5. Step 5: Solve for x
    x = 47,112,554.65/9,024.69
  6. Step 6: Final answer
    x = 5,220.41

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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.