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Finding the Fourth Proportional to 9,686.75, 14,529.60 and 2,666.66

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Solution

The fourth proportional to 9,686.75, 14,529.60 and 2,666.66 is: 3,999.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.75 : 14,529.60 = 2,666.66 : x
  2. Step 2: Convert to fraction form
    9,686.75/14,529.60 = 2,666.66/x
  3. Step 3: Cross multiply
    9,686.75x = 14,529.60 × 2,666.66
  4. Step 4: Simplify right side
    9,686.75x = 38,745,430.49
  5. Step 5: Solve for x
    x = 38,745,430.49/9,686.75
  6. Step 6: Final answer
    x = 3,999.84

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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.