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Finding the Fourth Proportional to 9,782.46, 14,673.66 and 4,230.30

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Solution

The fourth proportional to 9,782.46, 14,673.66 and 4,230.30 is: 6,345.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.46 : 14,673.66 = 4,230.30 : x
  2. Step 2: Convert to fraction form
    9,782.46/14,673.66 = 4,230.30/x
  3. Step 3: Cross multiply
    9,782.46x = 14,673.66 × 4,230.30
  4. Step 4: Simplify right side
    9,782.46x = 62,073,983.90
  5. Step 5: Solve for x
    x = 62,073,983.90/9,782.46
  6. Step 6: Final answer
    x = 6,345.44

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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.