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Finding the Fourth Proportional to 9,803.38, 14,705.71 and 7,178.74

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Solution

The fourth proportional to 9,803.38, 14,705.71 and 7,178.74 is: 10,768.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.38 : 14,705.71 = 7,178.74 : x
  2. Step 2: Convert to fraction form
    9,803.38/14,705.71 = 7,178.74/x
  3. Step 3: Cross multiply
    9,803.38x = 14,705.71 × 7,178.74
  4. Step 4: Simplify right side
    9,803.38x = 105,568,468.61
  5. Step 5: Solve for x
    x = 105,568,468.61/9,803.38
  6. Step 6: Final answer
    x = 10,768.58

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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.