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Finding the Fourth Proportional to 9,478.67, 14,217.02 and 6,858.52

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Solution

The fourth proportional to 9,478.67, 14,217.02 and 6,858.52 is: 10,287.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.67 : 14,217.02 = 6,858.52 : x
  2. Step 2: Convert to fraction form
    9,478.67/14,217.02 = 6,858.52/x
  3. Step 3: Cross multiply
    9,478.67x = 14,217.02 × 6,858.52
  4. Step 4: Simplify right side
    9,478.67x = 97,507,751.87
  5. Step 5: Solve for x
    x = 97,507,751.87/9,478.67
  6. Step 6: Final answer
    x = 10,287.07

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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.