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Finding the Fourth Proportional to 9,967.50, 13,655.54 and 9,593.82

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Solution

The fourth proportional to 9,967.50, 13,655.54 and 9,593.82 is: 13,143.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.50 : 13,655.54 = 9,593.82 : x
  2. Step 2: Convert to fraction form
    9,967.50/13,655.54 = 9,593.82/x
  3. Step 3: Cross multiply
    9,967.50x = 13,655.54 × 9,593.82
  4. Step 4: Simplify right side
    9,967.50x = 131,008,792.76
  5. Step 5: Solve for x
    x = 131,008,792.76/9,967.50
  6. Step 6: Final answer
    x = 13,143.60

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.