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Finding the Fourth Proportional to 9,807.84, 13,526.46 and 9,049.68

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Solution

The fourth proportional to 9,807.84, 13,526.46 and 9,049.68 is: 12,480.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.84 : 13,526.46 = 9,049.68 : x
  2. Step 2: Convert to fraction form
    9,807.84/13,526.46 = 9,049.68/x
  3. Step 3: Cross multiply
    9,807.84x = 13,526.46 × 9,049.68
  4. Step 4: Simplify right side
    9,807.84x = 122,410,134.53
  5. Step 5: Solve for x
    x = 122,410,134.53/9,807.84
  6. Step 6: Final answer
    x = 12,480.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.