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Finding the Fourth Proportional to 9,833.18, 14,674.23 and 8,782.20

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Solution

The fourth proportional to 9,833.18, 14,674.23 and 8,782.20 is: 13,105.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.18 : 14,674.23 = 8,782.20 : x
  2. Step 2: Convert to fraction form
    9,833.18/14,674.23 = 8,782.20/x
  3. Step 3: Cross multiply
    9,833.18x = 14,674.23 × 8,782.20
  4. Step 4: Simplify right side
    9,833.18x = 128,872,022.71
  5. Step 5: Solve for x
    x = 128,872,022.71/9,833.18
  6. Step 6: Final answer
    x = 13,105.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.