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Finding the Fourth Proportional to 9,792.15, 14,686.70 and 3,218.29

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Solution

The fourth proportional to 9,792.15, 14,686.70 and 3,218.29 is: 4,826.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.15 : 14,686.70 = 3,218.29 : x
  2. Step 2: Convert to fraction form
    9,792.15/14,686.70 = 3,218.29/x
  3. Step 3: Cross multiply
    9,792.15x = 14,686.70 × 3,218.29
  4. Step 4: Simplify right side
    9,792.15x = 47,266,025.04
  5. Step 5: Solve for x
    x = 47,266,025.04/9,792.15
  6. Step 6: Final answer
    x = 4,826.93

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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.