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Finding the Fourth Proportional to 7,869.40, 11,832.90 and 6,602.20

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Solution

The fourth proportional to 7,869.40, 11,832.90 and 6,602.20 is: 9,927.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869.40 : 11,832.90 = 6,602.20 : x
  2. Step 2: Convert to fraction form
    7,869.40/11,832.90 = 6,602.20/x
  3. Step 3: Cross multiply
    7,869.40x = 11,832.90 × 6,602.20
  4. Step 4: Simplify right side
    7,869.40x = 78,123,172.38
  5. Step 5: Solve for x
    x = 78,123,172.38/7,869.40
  6. Step 6: Final answer
    x = 9,927.46

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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.