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Finding the Fourth Proportional to 9,415.40, 14,123.10 and 6,132.20

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Solution

The fourth proportional to 9,415.40, 14,123.10 and 6,132.20 is: 9,198.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.40 : 14,123.10 = 6,132.20 : x
  2. Step 2: Convert to fraction form
    9,415.40/14,123.10 = 6,132.20/x
  3. Step 3: Cross multiply
    9,415.40x = 14,123.10 × 6,132.20
  4. Step 4: Simplify right side
    9,415.40x = 86,605,673.82
  5. Step 5: Solve for x
    x = 86,605,673.82/9,415.40
  6. Step 6: Final answer
    x = 9,198.30

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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.