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Finding the Fourth Proportional to 9,588.76, 14,383.02 and 2,663.20

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Solution

The fourth proportional to 9,588.76, 14,383.02 and 2,663.20 is: 3,994.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.76 : 14,383.02 = 2,663.20 : x
  2. Step 2: Convert to fraction form
    9,588.76/14,383.02 = 2,663.20/x
  3. Step 3: Cross multiply
    9,588.76x = 14,383.02 × 2,663.20
  4. Step 4: Simplify right side
    9,588.76x = 38,304,858.86
  5. Step 5: Solve for x
    x = 38,304,858.86/9,588.76
  6. Step 6: Final answer
    x = 3,994.77

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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.