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Finding the Fourth Proportional to 9,803.08, 14,706.78 and 5,426.92

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Solution

The fourth proportional to 9,803.08, 14,706.78 and 5,426.92 is: 8,141.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.08 : 14,706.78 = 5,426.92 : x
  2. Step 2: Convert to fraction form
    9,803.08/14,706.78 = 5,426.92/x
  3. Step 3: Cross multiply
    9,803.08x = 14,706.78 × 5,426.92
  4. Step 4: Simplify right side
    9,803.08x = 79,812,518.52
  5. Step 5: Solve for x
    x = 79,812,518.52/9,803.08
  6. Step 6: Final answer
    x = 8,141.58

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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.