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Finding the Fourth Proportional to 9,872.10, 14,795.46 and 4,666.50

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Solution

The fourth proportional to 9,872.10, 14,795.46 and 4,666.50 is: 6,993.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.10 : 14,795.46 = 4,666.50 : x
  2. Step 2: Convert to fraction form
    9,872.10/14,795.46 = 4,666.50/x
  3. Step 3: Cross multiply
    9,872.10x = 14,795.46 × 4,666.50
  4. Step 4: Simplify right side
    9,872.10x = 69,043,014.09
  5. Step 5: Solve for x
    x = 69,043,014.09/9,872.10
  6. Step 6: Final answer
    x = 6,993.75

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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.