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Finding the Fourth Proportional to 9,654.18, 14,456.76 and 8,090.07

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Solution

The fourth proportional to 9,654.18, 14,456.76 and 8,090.07 is: 12,114.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654.18 : 14,456.76 = 8,090.07 : x
  2. Step 2: Convert to fraction form
    9,654.18/14,456.76 = 8,090.07/x
  3. Step 3: Cross multiply
    9,654.18x = 14,456.76 × 8,090.07
  4. Step 4: Simplify right side
    9,654.18x = 116,956,200.37
  5. Step 5: Solve for x
    x = 116,956,200.37/9,654.18
  6. Step 6: Final answer
    x = 12,114.57

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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.