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Finding the Fourth Proportional to 9,685.08, 14,529.24 and 7,605

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Solution

The fourth proportional to 9,685.08, 14,529.24 and 7,605 is: 11,408.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.08 : 14,529.24 = 7,605 : x
  2. Step 2: Convert to fraction form
    9,685.08/14,529.24 = 7,605/x
  3. Step 3: Cross multiply
    9,685.08x = 14,529.24 × 7,605
  4. Step 4: Simplify right side
    9,685.08x = 110,494,870.20
  5. Step 5: Solve for x
    x = 110,494,870.20/9,685.08
  6. Step 6: Final answer
    x = 11,408.77

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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.