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Finding the Fourth Proportional to 9,213.81, 12,711.29 and 6,420.93

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Solution

The fourth proportional to 9,213.81, 12,711.29 and 6,420.93 is: 8,858.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.81 : 12,711.29 = 6,420.93 : x
  2. Step 2: Convert to fraction form
    9,213.81/12,711.29 = 6,420.93/x
  3. Step 3: Cross multiply
    9,213.81x = 12,711.29 × 6,420.93
  4. Step 4: Simplify right side
    9,213.81x = 81,618,303.30
  5. Step 5: Solve for x
    x = 81,618,303.30/9,213.81
  6. Step 6: Final answer
    x = 8,858.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.