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Finding the Fourth Proportional to 9,625.44, 13,283.16 and 5,646.63

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Solution

The fourth proportional to 9,625.44, 13,283.16 and 5,646.63 is: 7,792.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625.44 : 13,283.16 = 5,646.63 : x
  2. Step 2: Convert to fraction form
    9,625.44/13,283.16 = 5,646.63/x
  3. Step 3: Cross multiply
    9,625.44x = 13,283.16 × 5,646.63
  4. Step 4: Simplify right side
    9,625.44x = 75,005,089.75
  5. Step 5: Solve for x
    x = 75,005,089.75/9,625.44
  6. Step 6: Final answer
    x = 7,792.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.