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Finding the Fourth Proportional to 9,835.77, 14,756.49 and 5,678.73

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Solution

The fourth proportional to 9,835.77, 14,756.49 and 5,678.73 is: 8,519.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.77 : 14,756.49 = 5,678.73 : x
  2. Step 2: Convert to fraction form
    9,835.77/14,756.49 = 5,678.73/x
  3. Step 3: Cross multiply
    9,835.77x = 14,756.49 × 5,678.73
  4. Step 4: Simplify right side
    9,835.77x = 83,798,122.46
  5. Step 5: Solve for x
    x = 83,798,122.46/9,835.77
  6. Step 6: Final answer
    x = 8,519.73

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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.