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Finding the Fourth Proportional to 9,663.62, 13,334.15 and 5,885.51

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Solution

The fourth proportional to 9,663.62, 13,334.15 and 5,885.51 is: 8,121.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.62 : 13,334.15 = 5,885.51 : x
  2. Step 2: Convert to fraction form
    9,663.62/13,334.15 = 5,885.51/x
  3. Step 3: Cross multiply
    9,663.62x = 13,334.15 × 5,885.51
  4. Step 4: Simplify right side
    9,663.62x = 78,478,221.21
  5. Step 5: Solve for x
    x = 78,478,221.21/9,663.62
  6. Step 6: Final answer
    x = 8,121.00

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