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Finding the Fourth Proportional to 9,870.99, 14,814.33 and 5,193.73

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Solution

The fourth proportional to 9,870.99, 14,814.33 and 5,193.73 is: 7,794.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.99 : 14,814.33 = 5,193.73 : x
  2. Step 2: Convert to fraction form
    9,870.99/14,814.33 = 5,193.73/x
  3. Step 3: Cross multiply
    9,870.99x = 14,814.33 × 5,193.73
  4. Step 4: Simplify right side
    9,870.99x = 76,941,630.15
  5. Step 5: Solve for x
    x = 76,941,630.15/9,870.99
  6. Step 6: Final answer
    x = 7,794.72

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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.