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Finding the Fourth Proportional to 9,686.04, 14,529.60 and 2,760

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Solution

The fourth proportional to 9,686.04, 14,529.60 and 2,760 is: 4,140.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.04 : 14,529.60 = 2,760 : x
  2. Step 2: Convert to fraction form
    9,686.04/14,529.60 = 2,760/x
  3. Step 3: Cross multiply
    9,686.04x = 14,529.60 × 2,760
  4. Step 4: Simplify right side
    9,686.04x = 40,101,696
  5. Step 5: Solve for x
    x = 40,101,696/9,686.04
  6. Step 6: Final answer
    x = 4,140.15

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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.