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Finding the Fourth Proportional to 9,640.52, 14,448.94 and 5,484

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Solution

The fourth proportional to 9,640.52, 14,448.94 and 5,484 is: 8,219.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.52 : 14,448.94 = 5,484 : x
  2. Step 2: Convert to fraction form
    9,640.52/14,448.94 = 5,484/x
  3. Step 3: Cross multiply
    9,640.52x = 14,448.94 × 5,484
  4. Step 4: Simplify right side
    9,640.52x = 79,237,986.96
  5. Step 5: Solve for x
    x = 79,237,986.96/9,640.52
  6. Step 6: Final answer
    x = 8,219.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.